[ { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_0", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.541)", "SCALE_PARAM(all_members, thickness, 1.176)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004231)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(10, thickness, 1.350)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_1", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004527)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005201)", "SCALE_PARAM(9, thickness, 1.522)", "SCALE_PARAM(all_members, thickness, 1.244)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_2", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(4, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_3", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001636)", "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(17, thickness, 1.391)", "SCALE_PARAM(8, thickness, 1.364)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_4", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.230)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004605)", "SCALE_PARAM(17, thickness, 1.562)", "SCALE_PARAM(all_members, thickness, 1.304)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_5", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.245)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "SCALE_PARAM(2, thickness, 1.271)", "SCALE_PARAM(18, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_6", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(16, thickness, 1.504)", "SCALE_PARAM(16, thickness, 1.577)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004141)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_7", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003295)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "SCALE_PARAM(17, thickness, 1.276)", "SCALE_PARAM(4, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_8", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(all_members, thickness, 1.151)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "SCALE_PARAM(16, thickness, 1.590)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_9", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.227)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003887)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003959)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003892)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_10", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.548)", "SCALE_PARAM(4, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.133)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_11", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "SCALE_PARAM(0, thickness, 1.422)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_12", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003864)", "SCALE_PARAM(all_members, thickness, 1.230)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003560)", "SCALE_PARAM(all_members, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_13", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003804)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003616)", "SCALE_PARAM(all_members, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_14", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.002680)", "SCALE_PARAM(6, thickness, 1.339)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003176)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_15", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003459)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(1, thickness, 1.255)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_16", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005251)", "SCALE_PARAM(19, thickness, 1.230)", "SCALE_PARAM(12, thickness, 1.236)", "SCALE_PARAM(14, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_17", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.287)", "SCALE_PARAM(7, thickness, 1.529)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(20, thickness, 1.350)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_18", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(0, thickness, 1.261)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_19", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005386)", "SCALE_PARAM(13, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(0, thickness, 1.370)", "SCALE_PARAM(11, thickness, 1.422)", "SCALE_PARAM(1, thickness, 1.488)", "SCALE_PARAM(20, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_20", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "SCALE_PARAM(0, thickness, 1.297)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_21", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "SCALE_PARAM(12, thickness, 1.550)", "SCALE_PARAM(12, thickness, 1.364)", "SCALE_PARAM(1, thickness, 1.214)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "SCALE_PARAM(19, thickness, 1.560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_22", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(9, thickness, 1.506)", "SCALE_PARAM(16, thickness, 1.357)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(19, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(14, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_23", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001554)", "SCALE_PARAM(all_members, thickness, 1.285)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "SCALE_PARAM(1, thickness, 1.332)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_24", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.445)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "SCALE_PARAM(15, thickness, 1.203)", "SCALE_PARAM(17, thickness, 1.277)", "SCALE_PARAM(1, thickness, 1.418)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "SCALE_PARAM(19, thickness, 1.414)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_25", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003242)", "SCALE_PARAM(6, thickness, 1.626)", "SCALE_PARAM(12, thickness, 1.302)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004329)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(1, thickness, 1.639)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_26", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004693)", "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(8, thickness, 1.355)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_27", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003310)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003350)", "SCALE_PARAM(20, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_28", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002827)", "SCALE_PARAM(14, thickness, 1.613)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(15, thickness, 1.536)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002130)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_29", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003900)", "SCALE_PARAM(all_members, thickness, 1.230)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005976)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002099)", "SCALE_PARAM(all_members, thickness, 1.193)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_30", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.517)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_31", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(6, thickness, 1.395)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004334)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003152)", "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_32", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.422)", "SCALE_PARAM(8, thickness, 1.437)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "SCALE_PARAM(7, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_33", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(6, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(13, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.205)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "SCALE_PARAM(13, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_34", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.203)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003871)", "SCALE_PARAM(11, thickness, 1.595)", "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(3, thickness, 1.453)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_35", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(0, thickness, 1.330)", "SCALE_PARAM(3, thickness, 1.475)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "SCALE_PARAM(15, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_36", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(5, thickness, 1.258)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005191)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005725)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006210)", "SCALE_PARAM(all_members, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_37", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.479)", "SCALE_PARAM(12, thickness, 1.502)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003119)", "SCALE_PARAM(all_members, thickness, 1.115)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004006)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_38", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(16, thickness, 1.546)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_39", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005205)", "SCALE_PARAM(19, thickness, 1.462)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(19, thickness, 1.499)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_40", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(all_members, thickness, 1.245)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004051)", "SCALE_PARAM(all_members, thickness, 1.167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_41", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003584)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003523)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.214)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004008)", "SCALE_PARAM(all_members, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_42", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.242)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002990)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003568)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.114)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_43", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(15, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(7, thickness, 1.236)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004457)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_44", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.282)", "SCALE_PARAM(16, thickness, 1.610)", "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005531)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(0, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_45", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003640)", "SCALE_PARAM(20, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(6, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_46", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003616)", "SCALE_PARAM(19, thickness, 1.209)", "SCALE_PARAM(0, thickness, 1.215)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004382)", "SCALE_PARAM(all_members, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_47", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(10, thickness, 1.650)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005141)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003848)", "SCALE_PARAM(all_members, thickness, 1.229)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_48", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004402)", "SCALE_PARAM(5, thickness, 1.335)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003892)", "SCALE_PARAM(all_members, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_49", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.524)", "SCALE_PARAM(18, thickness, 1.462)", "SCALE_PARAM(17, thickness, 1.443)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003772)", "SCALE_PARAM(all_members, thickness, 1.318)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_50", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.000746)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(15, thickness, 1.312)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.209)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_51", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_52", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002835)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.318)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_53", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.473)", "SCALE_PARAM(19, thickness, 1.623)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "SCALE_PARAM(0, thickness, 1.357)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_54", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_55", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(12, thickness, 1.294)", "SCALE_PARAM(16, thickness, 1.309)", "SCALE_PARAM(0, thickness, 1.361)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_56", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004838)", "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_57", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.333)", "SCALE_PARAM(1, thickness, 1.319)", "SCALE_PARAM(16, thickness, 1.272)", "SCALE_PARAM(4, thickness, 1.190)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_58", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(19, thickness, 1.600)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(13, thickness, 1.495)", "SCALE_PARAM(12, thickness, 1.321)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_59", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.610)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(5, thickness, 1.431)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_60", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001714)", "SCALE_PARAM(18, thickness, 1.182)", "SCALE_PARAM(16, thickness, 1.399)", "SCALE_PARAM(1, thickness, 1.618)", "SCALE_PARAM(14, thickness, 1.248)", "SCALE_PARAM(15, thickness, 1.414)", "SCALE_PARAM(all_members, thickness, 1.166)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_61", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(18, thickness, 1.631)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(19, thickness, 1.389)", "SCALE_PARAM(19, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_62", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.285)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005413)", "SCALE_PARAM(20, thickness, 1.565)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(13, thickness, 1.368)", "SCALE_PARAM(18, thickness, 1.495)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_63", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.222)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "SCALE_PARAM(5, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_64", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "SCALE_PARAM(14, thickness, 1.311)", "SCALE_PARAM(9, thickness, 1.645)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_65", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005397)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003605)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004807)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004468)", "SCALE_PARAM(11, thickness, 1.517)", "SCALE_PARAM(all_members, thickness, 1.170)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_66", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005848)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(17, thickness, 1.387)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_67", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(13, thickness, 1.381)", "SCALE_PARAM(9, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_68", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.527)", "SCALE_PARAM(2, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(0, thickness, 1.404)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "SCALE_PARAM(11, thickness, 1.527)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_69", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.393)", "SCALE_PARAM(8, thickness, 1.316)", "SCALE_PARAM(6, thickness, 1.493)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "SCALE_PARAM(12, thickness, 1.623)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_70", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004666)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005269)", "SCALE_PARAM(4, thickness, 1.391)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_71", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(20, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(1, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_72", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(11, thickness, 1.456)", "SCALE_PARAM(11, thickness, 1.364)", "SCALE_PARAM(all_members, thickness, 1.299)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_73", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(17, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(1, thickness, 1.429)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_74", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(4, thickness, 1.399)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004921)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004831)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_75", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.230)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.003550)", "SCALE_PARAM(7, thickness, 1.355)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_76", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.002411)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.192)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003982)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001580)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_77", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004107)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003664)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006197)", "SCALE_PARAM(all_members, thickness, 1.151)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_78", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.176)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001500)", "SCALE_PARAM(6, thickness, 1.562)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004222)", "SCALE_PARAM(12, thickness, 1.218)", "SCALE_PARAM(19, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_79", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(4, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005564)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(4, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_80", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.418)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_81", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.178)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003732)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(10, thickness, 1.433)", "SCALE_PARAM(all_members, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_82", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005137)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(0, thickness, 1.562)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_83", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(18, thickness, 1.266)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003703)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004998)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_84", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_85", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003289)", "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "SCALE_PARAM(11, thickness, 1.179)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_86", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(18, thickness, 1.389)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_87", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "SCALE_PARAM(2, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_88", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.412)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004342)", "SCALE_PARAM(8, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_89", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(16, thickness, 1.460)", "SCALE_PARAM(14, thickness, 1.565)", "SCALE_PARAM(12, thickness, 1.414)", "SCALE_PARAM(15, thickness, 1.221)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_90", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004316)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005830)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004874)", "SCALE_PARAM(16, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_91", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(20, thickness, 1.508)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.209)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_92", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "SCALE_PARAM(12, thickness, 1.224)", "SCALE_PARAM(11, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_93", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.230)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_94", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002699)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.003426)", "SCALE_PARAM(3, thickness, 1.618)", "SCALE_PARAM(17, thickness, 1.391)", "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005840)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_95", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001944)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003668)", "SCALE_PARAM(6, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(15, thickness, 1.233)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_96", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(6, thickness, 1.252)", "SCALE_PARAM(11, thickness, 1.431)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(7, thickness, 1.499)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_97", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.136)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005009)", "SCALE_PARAM(all_members, thickness, 1.143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_98", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(5, thickness, 1.200)", "SCALE_PARAM(8, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(19, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_99", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(18, thickness, 1.661)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "SCALE_PARAM(3, thickness, 1.401)", "SCALE_PARAM(6, thickness, 1.344)", "SCALE_PARAM(6, thickness, 1.513)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_100", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.312)", "SCALE_PARAM(all_members, thickness, 1.205)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "SCALE_PARAM(9, thickness, 1.623)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_101", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.441)", "SCALE_PARAM(14, thickness, 1.522)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_102", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.314)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004048)", "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_103", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_104", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.002691)", "SCALE_PARAM(14, thickness, 1.595)", "SCALE_PARAM(14, thickness, 1.335)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_105", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.325)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "SCALE_PARAM(20, thickness, 1.255)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_106", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.287)", "SCALE_PARAM(0, thickness, 1.616)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003264)", "SCALE_PARAM(18, thickness, 1.466)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(10, thickness, 1.475)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_107", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "SCALE_PARAM(0, thickness, 1.225)", "SCALE_PARAM(7, thickness, 1.590)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_108", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(0, thickness, 1.560)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_109", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(13, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(9, thickness, 1.439)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_110", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005078)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004759)", "SCALE_PARAM(all_members, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_111", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003550)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004082)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(7, thickness, 1.418)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_112", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(1, thickness, 1.422)", "SCALE_PARAM(4, thickness, 1.460)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.297)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_113", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(15, thickness, 1.381)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_114", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.488)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003278)", "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_115", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.664)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(5, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.130)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_116", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(17, thickness, 1.227)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "SCALE_PARAM(15, thickness, 1.464)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_117", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002229)", "SCALE_PARAM(0, thickness, 1.502)", "SCALE_PARAM(3, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(6, thickness, 1.332)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_118", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005253)", "SCALE_PARAM(2, thickness, 1.502)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004651)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004142)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(20, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_119", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.182)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003108)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004422)", "SCALE_PARAM(8, thickness, 1.362)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.121)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_120", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.193)", "SCALE_PARAM(15, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.136)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "SCALE_PARAM(9, thickness, 1.387)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_121", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.377)", "SCALE_PARAM(15, thickness, 1.605)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_122", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_123", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.346)", "SCALE_PARAM(1, thickness, 1.513)", "SCALE_PARAM(15, thickness, 1.653)", "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_124", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(10, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_125", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.592)", "SCALE_PARAM(4, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.235)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_126", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004151)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001847)", "SCALE_PARAM(19, thickness, 1.531)", "SCALE_PARAM(17, thickness, 1.236)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001473)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(all_members, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_127", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.433)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(18, thickness, 1.340)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_128", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.393)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004611)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(10, thickness, 1.484)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_129", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "SCALE_PARAM(0, thickness, 1.387)", "SCALE_PARAM(15, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_130", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.527)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(3, thickness, 1.555)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_131", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002186)", "SCALE_PARAM(17, thickness, 1.488)", "SCALE_PARAM(13, thickness, 1.284)", "SCALE_PARAM(14, thickness, 1.527)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005644)", "SCALE_PARAM(all_members, thickness, 1.145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_132", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001975)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004121)", "SCALE_PARAM(all_members, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_133", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_134", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "SCALE_PARAM(7, thickness, 1.295)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_135", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.508)", "SCALE_PARAM(3, thickness, 1.401)", "SCALE_PARAM(all_members, thickness, 1.252)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_136", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.431)", "SCALE_PARAM(all_members, thickness, 1.297)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003792)", "SCALE_PARAM(all_members, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_137", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.506)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005272)", "SCALE_PARAM(4, thickness, 1.653)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(3, thickness, 1.385)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "SCALE_PARAM(0, thickness, 1.357)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_138", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003025)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "SCALE_PARAM(11, thickness, 1.377)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_139", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "SCALE_PARAM(14, thickness, 1.420)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_140", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(10, thickness, 1.486)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(19, thickness, 1.531)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_141", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(8, thickness, 1.181)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004659)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004653)", "SCALE_PARAM(all_members, thickness, 1.209)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_142", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.372)", "SCALE_PARAM(6, thickness, 1.387)", "SCALE_PARAM(2, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_143", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.121)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "SCALE_PARAM(6, thickness, 1.511)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_144", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003045)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(7, thickness, 1.208)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004933)", "SCALE_PARAM(5, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.142)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_145", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.389)", "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.003777)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.241)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "SCALE_PARAM(5, thickness, 1.339)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_146", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.445)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(3, thickness, 1.199)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_147", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(6, thickness, 1.348)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_148", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004328)", "SCALE_PARAM(5, thickness, 1.393)", "SCALE_PARAM(all_members, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_149", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_150", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.250)", "SCALE_PARAM(2, thickness, 1.597)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_151", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.290)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_152", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.256)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "SCALE_PARAM(9, thickness, 1.383)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "SCALE_PARAM(0, thickness, 1.497)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_153", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004052)", "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_154", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(17, thickness, 1.429)", "SCALE_PARAM(all_members, thickness, 1.130)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "SCALE_PARAM(5, thickness, 1.218)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_155", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(19, thickness, 1.427)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(14, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_156", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.534)", "SCALE_PARAM(all_members, thickness, 1.135)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002824)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.290)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_157", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.003865)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_158", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_159", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003629)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_160", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.218)", "SCALE_PARAM(16, thickness, 1.250)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_161", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(4, thickness, 1.603)", "SCALE_PARAM(17, thickness, 1.555)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_162", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.212)", "SCALE_PARAM(12, thickness, 1.572)", "SCALE_PARAM(7, thickness, 1.499)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003896)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_163", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "SCALE_PARAM(2, thickness, 1.309)", "SCALE_PARAM(17, thickness, 1.230)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_164", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(all_members, thickness, 1.289)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003848)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.168)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_165", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "SCALE_PARAM(10, thickness, 1.420)", "SCALE_PARAM(15, thickness, 1.372)", "SCALE_PARAM(13, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_166", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006546)", "SCALE_PARAM(all_members, thickness, 1.182)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_167", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(20, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_168", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.222)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005590)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003644)", "SCALE_PARAM(9, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(10, thickness, 1.585)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_169", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.002519)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.172)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005183)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_170", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.235)", "SCALE_PARAM(10, thickness, 1.387)", "SCALE_PARAM(4, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.133)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_171", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.252)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_172", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.261)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005648)", "SCALE_PARAM(1, thickness, 1.422)", "SCALE_PARAM(all_members, thickness, 1.117)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_173", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.196)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "SCALE_PARAM(5, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_174", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005795)", "SCALE_PARAM(18, thickness, 1.235)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005256)", "SCALE_PARAM(all_members, thickness, 1.230)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_175", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003757)", "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004955)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(9, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_176", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.408)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002406)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.209)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_177", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003934)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003174)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005368)", "SCALE_PARAM(2, thickness, 1.250)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001503)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_178", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "SCALE_PARAM(9, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_179", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.637)", "SCALE_PARAM(all_members, thickness, 1.208)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001459)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(3, thickness, 1.346)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_180", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(15, thickness, 1.221)", "SCALE_PARAM(4, thickness, 1.587)", "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(12, thickness, 1.562)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_181", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.656)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(6, thickness, 1.294)", "SCALE_PARAM(2, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_182", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.603)", "SCALE_PARAM(12, thickness, 1.486)", "SCALE_PARAM(15, thickness, 1.580)", "SCALE_PARAM(0, thickness, 1.403)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_183", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003616)", "SCALE_PARAM(2, thickness, 1.214)", "SCALE_PARAM(1, thickness, 1.493)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004823)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004054)", "SCALE_PARAM(1, thickness, 1.340)", "SCALE_PARAM(all_members, thickness, 1.166)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_184", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.555)", "SCALE_PARAM(all_members, thickness, 1.179)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003667)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003629)", "SCALE_PARAM(all_members, thickness, 1.148)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_185", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001482)", "SCALE_PARAM(all_members, thickness, 1.179)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003690)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006770)", "SCALE_PARAM(7, thickness, 1.395)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004351)", "SCALE_PARAM(all_members, thickness, 1.143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_186", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004618)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004977)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(15, thickness, 1.484)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_187", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(9, thickness, 1.328)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006505)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(10, thickness, 1.214)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_188", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.439)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(18, thickness, 1.399)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_189", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "SCALE_PARAM(4, thickness, 1.190)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "SCALE_PARAM(18, thickness, 1.468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_190", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004874)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003545)", "SCALE_PARAM(9, thickness, 1.355)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002132)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(18, thickness, 1.587)", "SCALE_PARAM(2, thickness, 1.399)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_191", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003903)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005077)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004420)", "SCALE_PARAM(18, thickness, 1.312)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004103)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(all_members, thickness, 1.127)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_192", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "SCALE_PARAM(20, thickness, 1.366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_193", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.232)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.001906)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(7, thickness, 1.626)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_194", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.003942)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003106)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002738)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(all_members, thickness, 1.302)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_195", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(1, thickness, 1.385)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_196", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(19, thickness, 1.256)", "SCALE_PARAM(8, thickness, 1.344)", "SCALE_PARAM(11, thickness, 1.642)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_197", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.140)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003487)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003956)", "SCALE_PARAM(all_members, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_198", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(9, thickness, 1.225)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004469)", "SCALE_PARAM(all_members, thickness, 1.152)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005390)", "SCALE_PARAM(9, thickness, 1.429)", "SCALE_PARAM(all_members, thickness, 1.114)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_199", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.506)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006943)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004242)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(0, thickness, 1.623)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_200", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.147)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_201", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "SCALE_PARAM(5, thickness, 1.453)", "SCALE_PARAM(19, thickness, 1.256)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_202", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.244)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004046)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004582)", "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_203", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.408)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "SCALE_PARAM(20, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_204", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.003732)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(2, thickness, 1.626)", "SCALE_PARAM(all_members, thickness, 1.221)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_205", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003618)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(12, thickness, 1.393)", "SCALE_PARAM(all_members, thickness, 1.179)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005292)", "SCALE_PARAM(all_members, thickness, 1.134)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_206", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.560)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(6, thickness, 1.302)", "SCALE_PARAM(1, thickness, 1.431)", "SCALE_PARAM(4, thickness, 1.531)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_207", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.629)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(all_members, thickness, 1.151)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_208", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.325)", "SCALE_PARAM(1, thickness, 1.239)", "SCALE_PARAM(1, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.133)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_209", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(7, thickness, 1.178)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "SCALE_PARAM(1, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_210", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.420)", "SCALE_PARAM(1, thickness, 1.511)", "SCALE_PARAM(4, thickness, 1.471)", "SCALE_PARAM(all_members, thickness, 1.287)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004727)", "SCALE_PARAM(all_members, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_211", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.285)", "SCALE_PARAM(3, thickness, 1.639)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004460)", "SCALE_PARAM(12, thickness, 1.346)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_212", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003165)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.112)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004921)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(4, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_213", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(19, thickness, 1.379)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_214", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004845)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004850)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006144)", "SCALE_PARAM(9, thickness, 1.397)", "SCALE_PARAM(all_members, thickness, 1.161)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_215", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004374)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(12, thickness, 1.339)", "SCALE_PARAM(16, thickness, 1.567)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_216", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.462)", "SCALE_PARAM(13, thickness, 1.238)", "SCALE_PARAM(4, thickness, 1.538)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_217", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.328)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003499)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(18, thickness, 1.534)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_218", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.152)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005814)", "SCALE_PARAM(2, thickness, 1.250)", "SCALE_PARAM(1, thickness, 1.517)", "SCALE_PARAM(20, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_219", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(3, thickness, 1.447)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_220", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004168)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003674)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003718)", "SCALE_PARAM(18, thickness, 1.587)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(15, thickness, 1.387)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_221", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(20, thickness, 1.379)", "SCALE_PARAM(6, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(6, thickness, 1.255)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_222", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(2, thickness, 1.575)", "SCALE_PARAM(14, thickness, 1.209)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "SCALE_PARAM(6, thickness, 1.541)", "SCALE_PARAM(1, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_223", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.368)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(6, thickness, 1.290)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003749)", "SCALE_PARAM(all_members, thickness, 1.261)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "SCALE_PARAM(15, thickness, 1.536)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_224", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(8, thickness, 1.623)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003206)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(all_members, thickness, 1.233)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006620)", "SCALE_PARAM(all_members, thickness, 1.168)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_225", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.294)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005818)", "SCALE_PARAM(all_members, thickness, 1.330)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_226", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003687)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003290)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001558)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004078)", "SCALE_PARAM(11, thickness, 1.325)", "SCALE_PARAM(5, thickness, 1.385)", "SCALE_PARAM(all_members, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_227", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.157)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003173)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004926)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003981)", "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(8, thickness, 1.466)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_228", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.393)", "SCALE_PARAM(all_members, thickness, 1.117)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "SCALE_PARAM(0, thickness, 1.253)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "SCALE_PARAM(12, thickness, 1.439)", "SCALE_PARAM(3, thickness, 1.346)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_229", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.200)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004325)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(6, thickness, 1.613)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_230", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.138)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004224)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005363)", "SCALE_PARAM(all_members, thickness, 1.119)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_231", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.443)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.004802)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(all_members, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_232", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(18, thickness, 1.536)", "SCALE_PARAM(19, thickness, 1.495)", "SCALE_PARAM(1, thickness, 1.427)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_233", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001715)", "SCALE_PARAM(2, thickness, 1.242)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002886)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002852)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(7, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.119)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_234", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006830)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(3, thickness, 1.477)", "SCALE_PARAM(13, thickness, 1.653)", "SCALE_PARAM(9, thickness, 1.621)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_235", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005140)", "SCALE_PARAM(12, thickness, 1.451)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001587)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004154)", "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_236", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(20, thickness, 1.337)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(13, thickness, 1.381)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_237", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.462)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "SCALE_PARAM(19, thickness, 1.229)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_238", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003765)", "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_239", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(16, thickness, 1.429)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003334)", "SCALE_PARAM(4, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_240", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(16, thickness, 1.397)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_241", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.199)", "SCALE_PARAM(17, thickness, 1.534)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_242", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002621)", "SCALE_PARAM(14, thickness, 1.575)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_243", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.143)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003162)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004792)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003967)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(6, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_244", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.269)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "SCALE_PARAM(1, thickness, 1.289)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "SCALE_PARAM(12, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_245", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "SCALE_PARAM(10, thickness, 1.340)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_246", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003525)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005278)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(16, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_247", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002685)", "SCALE_PARAM(1, thickness, 1.433)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003010)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_248", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003401)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.256)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "SCALE_PARAM(9, thickness, 1.370)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_249", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.355)", "SCALE_PARAM(18, thickness, 1.302)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004024)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(0, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.117)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_250", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_251", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(5, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.192)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003228)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003662)", "SCALE_PARAM(all_members, thickness, 1.290)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_252", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "SCALE_PARAM(11, thickness, 1.613)", "SCALE_PARAM(12, thickness, 1.183)", "SCALE_PARAM(7, thickness, 1.340)", "SCALE_PARAM(9, thickness, 1.570)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_253", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001612)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(5, thickness, 1.656)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_254", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003477)", "SCALE_PARAM(all_members, thickness, 1.212)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_255", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.305)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "SCALE_PARAM(8, thickness, 1.582)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_256", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.179)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "SCALE_PARAM(13, thickness, 1.425)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_257", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(13, thickness, 1.435)", "SCALE_PARAM(8, thickness, 1.178)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003592)", "SCALE_PARAM(16, thickness, 1.565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_258", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(5, thickness, 1.499)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(2, thickness, 1.391)", "SCALE_PARAM(15, thickness, 1.639)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_259", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.264)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004257)", "SCALE_PARAM(8, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.168)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_260", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.192)", "SCALE_PARAM(3, thickness, 1.393)", "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004261)", "SCALE_PARAM(all_members, thickness, 1.167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_261", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.149)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_262", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.368)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(0, thickness, 1.333)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004150)", "SCALE_PARAM(all_members, thickness, 1.198)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_263", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.517)", "SCALE_PARAM(10, thickness, 1.527)", "SCALE_PARAM(all_members, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_264", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(11, thickness, 1.425)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(1, thickness, 1.377)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_265", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.582)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.222)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_266", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.527)", "SCALE_PARAM(9, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(16, thickness, 1.376)", "SCALE_PARAM(8, thickness, 1.314)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_267", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.287)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "SCALE_PARAM(18, thickness, 1.613)", "SCALE_PARAM(6, thickness, 1.661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_268", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(11, thickness, 1.361)", "SCALE_PARAM(all_members, thickness, 1.272)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_269", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.488)", "SCALE_PARAM(all_members, thickness, 1.325)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.003554)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001958)", "SCALE_PARAM(all_members, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_270", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.585)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003866)", "SCALE_PARAM(9, thickness, 1.587)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005834)", "SCALE_PARAM(all_members, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_271", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002721)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.166)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_272", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.616)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001789)", "SCALE_PARAM(all_members, thickness, 1.116)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_273", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004597)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003344)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003794)", "SCALE_PARAM(all_members, thickness, 1.245)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003639)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "SCALE_PARAM(18, thickness, 1.366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_274", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.247)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004119)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(16, thickness, 1.447)", "SCALE_PARAM(all_members, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_275", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.312)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005310)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003421)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005184)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "SCALE_PARAM(2, thickness, 1.393)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_276", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(8, thickness, 1.597)", "SCALE_PARAM(0, thickness, 1.536)", "SCALE_PARAM(0, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003244)", "SCALE_PARAM(all_members, thickness, 1.285)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_277", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.152)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001466)", "SCALE_PARAM(5, thickness, 1.527)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_278", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(17, thickness, 1.325)", "SCALE_PARAM(1, thickness, 1.536)", "SCALE_PARAM(all_members, thickness, 1.148)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_279", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003901)", "SCALE_PARAM(13, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.274)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_280", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(6, thickness, 1.453)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_281", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.590)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(11, thickness, 1.647)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_282", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.333)", "SCALE_PARAM(1, thickness, 1.642)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "SCALE_PARAM(4, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_283", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.562)", "SCALE_PARAM(4, thickness, 1.307)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_284", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.211)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003756)", "SCALE_PARAM(all_members, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_285", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001486)", "SCALE_PARAM(11, thickness, 1.348)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004465)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(19, thickness, 1.555)", "SCALE_PARAM(all_members, thickness, 1.134)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_286", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004005)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(6, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_287", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.003887)", "SCALE_PARAM(5, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001668)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(17, thickness, 1.224)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_288", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.004285)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(all_members, thickness, 1.175)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_289", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004532)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005643)", "SCALE_PARAM(10, thickness, 1.391)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_290", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.323)", "SCALE_PARAM(12, thickness, 1.215)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_291", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(1, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_292", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(12, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_293", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.189)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "SCALE_PARAM(6, thickness, 1.572)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_294", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.387)", "SCALE_PARAM(all_members, thickness, 1.269)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005171)", "SCALE_PARAM(6, thickness, 1.379)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_295", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.253)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004870)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(3, thickness, 1.550)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_296", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.003639)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(16, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(1, thickness, 1.590)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_297", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004886)", "SCALE_PARAM(3, thickness, 1.412)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(4, thickness, 1.339)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_298", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003996)", "SCALE_PARAM(14, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005928)", "SCALE_PARAM(all_members, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_299", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.247)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "SCALE_PARAM(5, thickness, 1.397)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_300", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(18, thickness, 1.348)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(10, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(17, thickness, 1.595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_301", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.297)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005492)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004781)", "SCALE_PARAM(all_members, thickness, 1.178)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_302", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.217)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005259)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "SCALE_PARAM(19, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_303", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_304", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(7, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.189)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_305", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.362)", "SCALE_PARAM(6, thickness, 1.605)", "SCALE_PARAM(all_members, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_306", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.224)", "SCALE_PARAM(13, thickness, 1.271)", "SCALE_PARAM(3, thickness, 1.443)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_307", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.229)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.005303)", "SCALE_PARAM(12, thickness, 1.209)", "SCALE_PARAM(9, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(16, thickness, 1.553)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_308", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.626)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "SCALE_PARAM(5, thickness, 1.350)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_309", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.244)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004719)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.121)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_310", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002640)", "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(4, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_311", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004898)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004469)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "SCALE_PARAM(18, thickness, 1.348)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_312", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.351)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004125)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004658)", "SCALE_PARAM(7, thickness, 1.658)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_313", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002443)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(4, thickness, 1.179)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_314", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003853)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.133)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_315", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.171)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "SCALE_PARAM(14, thickness, 1.376)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_316", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.255)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003173)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004926)", "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(9, thickness, 1.587)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_317", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005461)", "SCALE_PARAM(7, thickness, 1.318)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004300)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(15, thickness, 1.342)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_318", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(1, thickness, 1.623)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(5, thickness, 1.481)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_319", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002675)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.004379)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.127)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_320", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.473)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_321", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005947)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005265)", "SCALE_PARAM(all_members, thickness, 1.199)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_322", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.186)", "SCALE_PARAM(18, thickness, 1.244)", "SCALE_PARAM(11, thickness, 1.364)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004020)", "SCALE_PARAM(20, thickness, 1.543)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(all_members, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_323", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.002937)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_324", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_325", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003171)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(14, thickness, 1.477)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_326", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(3, thickness, 1.661)", "SCALE_PARAM(19, thickness, 1.205)", "SCALE_PARAM(1, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_327", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(17, thickness, 1.546)", "SCALE_PARAM(16, thickness, 1.189)", "SCALE_PARAM(9, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_328", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.453)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_329", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.359)", "SCALE_PARAM(15, thickness, 1.221)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "SCALE_PARAM(4, thickness, 1.621)", "SCALE_PARAM(2, thickness, 1.445)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_330", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(0, thickness, 1.217)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "SCALE_PARAM(0, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_331", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.340)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003637)", "SCALE_PARAM(6, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_332", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.502)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.156)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_333", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003070)", "SCALE_PARAM(8, thickness, 1.267)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003537)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(all_members, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_334", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(4, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006363)", "SCALE_PARAM(all_members, thickness, 1.121)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_335", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001168)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_336", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.600)", "SCALE_PARAM(all_members, thickness, 1.171)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004606)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004522)", "SCALE_PARAM(4, thickness, 1.642)", "SCALE_PARAM(all_members, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_337", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(14, thickness, 1.511)", "SCALE_PARAM(all_members, thickness, 1.242)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002721)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(all_members, thickness, 1.305)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_338", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.391)", "SCALE_PARAM(15, thickness, 1.613)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_339", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.429)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003168)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(15, thickness, 1.555)", "SCALE_PARAM(14, thickness, 1.484)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_340", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(11, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(9, thickness, 1.473)", "SCALE_PARAM(all_members, thickness, 1.199)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_341", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005350)", "SCALE_PARAM(2, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_342", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001050)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.183)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_343", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001817)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003427)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(20, thickness, 1.269)", "SCALE_PARAM(4, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_344", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.239)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004963)", "SCALE_PARAM(13, thickness, 1.209)", "SCALE_PARAM(11, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_345", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002888)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(4, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_346", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(3, thickness, 1.558)", "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(19, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.170)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_347", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.230)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.003838)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.232)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_348", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(6, thickness, 1.451)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003246)", "SCALE_PARAM(13, thickness, 1.346)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004861)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(7, thickness, 1.443)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_349", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001270)", "SCALE_PARAM(7, thickness, 1.346)", "SCALE_PARAM(18, thickness, 1.603)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_350", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(11, thickness, 1.294)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002189)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003684)", "SCALE_PARAM(all_members, thickness, 1.144)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_351", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005177)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004617)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(3, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_352", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(all_members, thickness, 1.305)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003207)", "SCALE_PARAM(all_members, thickness, 1.299)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_353", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(2, thickness, 1.453)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002216)", "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_354", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003224)", "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "SCALE_PARAM(7, thickness, 1.488)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_355", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(18, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(15, thickness, 1.222)", "SCALE_PARAM(5, thickness, 1.435)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005982)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(18, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_356", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(16, thickness, 1.178)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003632)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005638)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(18, thickness, 1.245)", "SCALE_PARAM(16, thickness, 1.199)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_357", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(18, thickness, 1.443)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(16, thickness, 1.580)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_358", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.289)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004615)", "SCALE_PARAM(all_members, thickness, 1.133)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_359", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.272)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003297)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004890)", "SCALE_PARAM(4, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(17, thickness, 1.314)", "SCALE_PARAM(16, thickness, 1.340)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_360", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.183)", "SCALE_PARAM(0, thickness, 1.203)", "SCALE_PARAM(17, thickness, 1.414)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_361", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(2, thickness, 1.488)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_362", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(9, thickness, 1.608)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003451)", "SCALE_PARAM(all_members, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_363", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_364", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004440)", "SCALE_PARAM(11, thickness, 1.538)", "SCALE_PARAM(all_members, thickness, 1.290)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_365", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003260)", "SCALE_PARAM(all_members, thickness, 1.294)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_366", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002843)", "SCALE_PARAM(2, thickness, 1.445)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_367", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(5, thickness, 1.445)", "SCALE_PARAM(9, thickness, 1.447)", "SCALE_PARAM(15, thickness, 1.401)", "SCALE_PARAM(3, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_368", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.217)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004103)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(4, thickness, 1.477)", "SCALE_PARAM(1, thickness, 1.325)", "SCALE_PARAM(9, thickness, 1.264)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_369", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(16, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.269)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "SCALE_PARAM(2, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_370", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.629)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003268)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(16, thickness, 1.567)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_371", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "SCALE_PARAM(17, thickness, 1.325)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_372", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001884)", "SCALE_PARAM(all_members, thickness, 1.330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_373", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(7, thickness, 1.244)", "SCALE_PARAM(15, thickness, 1.456)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_374", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(7, thickness, 1.285)", "SCALE_PARAM(10, thickness, 1.208)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_375", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001318)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002782)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.232)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "SCALE_PARAM(8, thickness, 1.381)", "SCALE_PARAM(9, thickness, 1.484)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_376", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.318)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_377", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(15, thickness, 1.325)", "SCALE_PARAM(16, thickness, 1.289)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_378", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(16, thickness, 1.305)", "SCALE_PARAM(10, thickness, 1.558)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(4, thickness, 1.350)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_379", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004322)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003566)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_380", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001609)", "SCALE_PARAM(all_members, thickness, 1.242)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "SCALE_PARAM(2, thickness, 1.458)", "SCALE_PARAM(4, thickness, 1.190)", "SCALE_PARAM(14, thickness, 1.302)", "SCALE_PARAM(4, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_381", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.616)", "SCALE_PARAM(1, thickness, 1.212)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003797)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(4, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_382", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001765)", "SCALE_PARAM(16, thickness, 1.582)", "SCALE_PARAM(6, thickness, 1.348)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005061)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004969)", "SCALE_PARAM(all_members, thickness, 1.131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_383", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.590)", "SCALE_PARAM(all_members, thickness, 1.138)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_384", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "SCALE_PARAM(18, thickness, 1.344)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_385", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003254)", "SCALE_PARAM(6, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(7, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.121)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_386", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.553)", "SCALE_PARAM(5, thickness, 1.190)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "SCALE_PARAM(2, thickness, 1.362)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_387", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.587)", "SCALE_PARAM(3, thickness, 1.445)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(18, thickness, 1.460)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "SCALE_PARAM(16, thickness, 1.224)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_388", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.203)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_389", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006155)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004557)", "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(11, thickness, 1.653)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "SCALE_PARAM(18, thickness, 1.479)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_390", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.279)", "SCALE_PARAM(4, thickness, 1.295)", "SCALE_PARAM(16, thickness, 1.577)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003880)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(all_members, thickness, 1.208)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_391", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.004575)", "SCALE_PARAM(all_members, thickness, 1.222)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005074)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(9, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_392", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.600)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004676)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(17, thickness, 1.391)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_393", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(19, thickness, 1.357)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(10, thickness, 1.548)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_394", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(0, thickness, 1.186)", "SCALE_PARAM(16, thickness, 1.621)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004454)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "SCALE_PARAM(16, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_395", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.261)", "SCALE_PARAM(4, thickness, 1.391)", "SCALE_PARAM(1, thickness, 1.366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_396", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.377)", "SCALE_PARAM(all_members, thickness, 1.189)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_397", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(18, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(2, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_398", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.198)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "SCALE_PARAM(0, thickness, 1.610)", "SCALE_PARAM(18, thickness, 1.621)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_399", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_400", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(11, thickness, 1.585)", "SCALE_PARAM(12, thickness, 1.176)", "SCALE_PARAM(18, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_401", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003542)", "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005077)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(all_members, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_402", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(19, thickness, 1.242)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "SCALE_PARAM(16, thickness, 1.629)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_403", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004409)", "SCALE_PARAM(13, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_404", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(14, thickness, 1.221)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_405", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004461)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(0, thickness, 1.610)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004212)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005017)", "SCALE_PARAM(6, thickness, 1.639)", "SCALE_PARAM(all_members, thickness, 1.122)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_406", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(2, thickness, 1.445)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_407", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005010)", "SCALE_PARAM(13, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004800)", "SCALE_PARAM(17, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_408", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.325)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "SCALE_PARAM(20, thickness, 1.529)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_409", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "SCALE_PARAM(1, thickness, 1.404)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_410", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.176)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004405)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(1, thickness, 1.577)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_411", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(16, thickness, 1.206)", "SCALE_PARAM(4, thickness, 1.362)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_412", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(20, thickness, 1.431)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(16, thickness, 1.425)", "SCALE_PARAM(all_members, thickness, 1.255)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_413", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(7, thickness, 1.292)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_414", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003028)", "SCALE_PARAM(9, thickness, 1.495)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(7, thickness, 1.577)", "SCALE_PARAM(all_members, thickness, 1.117)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_415", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "SCALE_PARAM(19, thickness, 1.555)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_416", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003675)", "SCALE_PARAM(all_members, thickness, 1.147)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006047)", "SCALE_PARAM(3, thickness, 1.582)", "SCALE_PARAM(6, thickness, 1.179)", "SCALE_PARAM(15, thickness, 1.572)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_417", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.546)", "SCALE_PARAM(18, thickness, 1.499)", "SCALE_PARAM(6, thickness, 1.550)", "SCALE_PARAM(18, thickness, 1.560)", "SCALE_PARAM(20, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_418", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005511)", "SCALE_PARAM(all_members, thickness, 1.239)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004173)", "SCALE_PARAM(all_members, thickness, 1.133)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_419", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(16, thickness, 1.587)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(3, thickness, 1.217)", "SCALE_PARAM(8, thickness, 1.211)", "SCALE_PARAM(20, thickness, 1.199)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_420", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004736)", "SCALE_PARAM(all_members, thickness, 1.189)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005097)", "SCALE_PARAM(5, thickness, 1.269)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001799)", "SCALE_PARAM(9, thickness, 1.393)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_421", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001221)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(4, thickness, 1.550)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004729)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003725)", "SCALE_PARAM(all_members, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_422", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004090)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006694)", "SCALE_PARAM(16, thickness, 1.196)", "SCALE_PARAM(5, thickness, 1.562)", "SCALE_PARAM(all_members, thickness, 1.156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_423", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.631)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004677)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002084)", "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_424", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "SCALE_PARAM(7, thickness, 1.513)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_425", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.127)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004161)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005042)", "SCALE_PARAM(all_members, thickness, 1.136)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_426", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "SCALE_PARAM(13, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_427", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(0, thickness, 1.362)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_428", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.244)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.006306)", "SCALE_PARAM(13, thickness, 1.350)", "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_429", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(19, thickness, 1.241)", "SCALE_PARAM(16, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_430", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(20, thickness, 1.468)", "SCALE_PARAM(18, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(0, thickness, 1.439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_431", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.266)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_432", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.289)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005143)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.005269)", "SCALE_PARAM(14, thickness, 1.183)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003394)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_433", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001704)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004735)", "SCALE_PARAM(17, thickness, 1.449)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(0, thickness, 1.410)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_434", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.217)", "SCALE_PARAM(6, thickness, 1.214)", "SCALE_PARAM(5, thickness, 1.408)", "SCALE_PARAM(0, thickness, 1.613)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "SCALE_PARAM(5, thickness, 1.536)", "SCALE_PARAM(13, thickness, 1.355)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_435", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004266)", "SCALE_PARAM(10, thickness, 1.351)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004484)", "SCALE_PARAM(all_members, thickness, 1.166)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_436", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(9, thickness, 1.441)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(5, thickness, 1.493)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_437", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.002864)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(8, thickness, 1.221)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(13, thickness, 1.639)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_438", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(16, thickness, 1.629)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_439", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003221)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(13, thickness, 1.266)", "SCALE_PARAM(5, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_440", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(16, thickness, 1.425)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "SCALE_PARAM(16, thickness, 1.183)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_441", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.004972)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_442", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005383)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004881)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_443", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.339)", "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_444", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.198)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "SCALE_PARAM(0, thickness, 1.582)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_445", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.370)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "SCALE_PARAM(16, thickness, 1.391)", "SCALE_PARAM(20, thickness, 1.464)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_446", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003188)", "SCALE_PARAM(10, thickness, 1.431)", "SCALE_PARAM(15, thickness, 1.562)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001528)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.005457)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.005920)", "SCALE_PARAM(all_members, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_447", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.511)", "SCALE_PARAM(16, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_448", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(4, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.161)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_449", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.232)", "SCALE_PARAM(6, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(19, thickness, 1.653)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_450", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(9, thickness, 1.597)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001746)", "SCALE_PARAM(12, thickness, 1.541)", "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_451", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004750)", "SCALE_PARAM(14, thickness, 1.471)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001656)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004976)", "SCALE_PARAM(all_members, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_452", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(6, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_453", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(15, thickness, 1.294)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003606)", "SCALE_PARAM(all_members, thickness, 1.311)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_454", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003537)", "SCALE_PARAM(8, thickness, 1.623)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003199)", "SCALE_PARAM(5, thickness, 1.205)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004273)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(all_members, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_455", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(2, thickness, 1.664)", "SCALE_PARAM(3, thickness, 1.437)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_456", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004560)", "SCALE_PARAM(5, thickness, 1.610)", "SCALE_PARAM(3, thickness, 1.242)", "SCALE_PARAM(7, thickness, 1.235)", "SCALE_PARAM(4, thickness, 1.538)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_457", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006403)", "SCALE_PARAM(all_members, thickness, 1.208)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_458", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.003679)", "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004514)", "SCALE_PARAM(3, thickness, 1.433)", "SCALE_PARAM(all_members, thickness, 1.157)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_459", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_460", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.002691)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003562)", "SCALE_PARAM(all_members, thickness, 1.326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_461", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(17, thickness, 1.258)", "SCALE_PARAM(17, thickness, 1.555)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_462", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(20, thickness, 1.361)", "SCALE_PARAM(19, thickness, 1.318)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_463", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.007737)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.005728)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "SCALE_PARAM(3, thickness, 1.541)", "SCALE_PARAM(13, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_464", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.005415)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003573)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(5, thickness, 1.427)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_465", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "SCALE_PARAM(10, thickness, 1.217)", "SCALE_PARAM(10, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_466", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(19, thickness, 1.529)", "SCALE_PARAM(1, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(13, thickness, 1.344)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_467", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.004441)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003290)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004128)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.004738)", "SCALE_PARAM(all_members, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_468", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001977)", "SCALE_PARAM(15, thickness, 1.353)", "SCALE_PARAM(6, thickness, 1.558)", "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004520)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004444)", "SCALE_PARAM(all_members, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_469", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003794)", "SCALE_PARAM(14, thickness, 1.642)", "SCALE_PARAM(4, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.311)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "SCALE_PARAM(9, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_470", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.230)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003003)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_471", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "SCALE_PARAM(0, thickness, 1.395)", "SCALE_PARAM(13, thickness, 1.493)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001998)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_472", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004138)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.151)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.004727)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "SCALE_PARAM(3, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_473", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003426)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(13, thickness, 1.221)", "SCALE_PARAM(0, thickness, 1.477)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "SCALE_PARAM(17, thickness, 1.515)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_474", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.287)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.004308)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.002775)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(14, thickness, 1.404)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_475", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.005227)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_476", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.003620)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_477", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.401)", "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_478", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.005631)", "SCALE_PARAM(7, thickness, 1.508)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.006314)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_479", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.458)", "SCALE_PARAM(all_members, thickness, 1.250)", "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003734)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004510)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_480", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.267)", "SCALE_PARAM(17, thickness, 1.242)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.004217)", "SCALE_PARAM(7, thickness, 1.560)", "SCALE_PARAM(13, thickness, 1.484)", "SCALE_PARAM(9, thickness, 1.389)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_481", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002853)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(7, thickness, 1.332)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003667)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(19, thickness, 1.610)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_482", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(6, thickness, 1.212)", "SCALE_PARAM(1, thickness, 1.543)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004400)", "SCALE_PARAM(all_members, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_483", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.175)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003233)", "SCALE_PARAM(3, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(6, thickness, 1.340)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.004167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_484", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003294)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.168)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_485", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(13, thickness, 1.305)", "SCALE_PARAM(8, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(7, thickness, 1.279)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "ADD_MEMBER(0, 6, 6061_T6_Aluminum, Pipe, 0.036002, 0.006000)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_486", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.252)", "ADD_MEMBER(3, 7, 6061_T6_Aluminum, Pipe, 0.029834, 0.003855)", "SCALE_PARAM(all_members, thickness, 1.290)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_487", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.193)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.002577)", "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006293)", "SCALE_PARAM(7, thickness, 1.290)", "SCALE_PARAM(13, thickness, 1.433)", "SCALE_PARAM(all_members, thickness, 1.230)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_488", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.389)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.003695)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(20, thickness, 1.350)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(0, thickness, 1.255)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_489", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.309)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.028360, 0.003027)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(15, thickness, 1.520)", "SCALE_PARAM(all_members, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_490", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.001713)", "SCALE_PARAM(7, thickness, 1.548)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003514)", "SCALE_PARAM(17, thickness, 1.592)", "SCALE_PARAM(15, thickness, 1.464)", "SCALE_PARAM(all_members, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_491", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(16, thickness, 1.361)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.006532)", "ADD_MEMBER(8, 9, 6061_T6_Aluminum, Pipe, 0.033784, 0.004754)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(12, thickness, 1.650)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_492", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.302)", "ADD_MEMBER(4, 8, 6061_T6_Aluminum, Pipe, 0.046421, 0.004609)", "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.004873)", "SCALE_PARAM(all_members, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_493", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(10, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(8, thickness, 1.304)", "ADD_MEMBER(7, 8, 6061_T6_Aluminum, Pipe, 0.042795, 0.007132)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_494", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.157)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.025301, 0.003416)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(6, thickness, 1.456)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_495", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(10, thickness, 1.385)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.038808, 0.006468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_496", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, 6061_T6_Aluminum, Pipe, 0.031362, 0.003975)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003168)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.011985, 0.001519)", "ADD_MEMBER(3, 9, 6061_T6_Aluminum, Pipe, 0.037884, 0.004801)", "SCALE_PARAM(all_members, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_497", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, 6061_T6_Aluminum, Pipe, 0.034368, 0.004047)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(16, thickness, 1.410)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(9, thickness, 1.393)", "SCALE_PARAM(10, thickness, 1.468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_498", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.148)", "ADD_MEMBER(3, 8, 6061_T6_Aluminum, Pipe, 0.024999, 0.003372)", "SCALE_PARAM(0, thickness, 1.558)", "SCALE_PARAM(5, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.236)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_090", "trace_id": "auto_problem_090_trace_499", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 90)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.20, 0.00) [free]\n J2: pos=(6.40, 0.00) [free]\n J3: pos=(9.60, 0.00) [free]\n J4: pos=(12.80, 0.00) [roller]\n J5: pos=(0.00, 1.92) [free]\n J6: pos=(3.20, 1.92) [free]\n J7: pos=(6.40, 1.92) [free]\n J8: pos=(9.60, 1.92) [free]\n J9: pos=(12.80, 1.92) [free]\n\nMembers (18 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0321, t=0.0045)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0439, t=0.0062)]\n M3: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0414, t=0.0058)]\n M4: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0388, t=0.0055)]\n M5: J7-J8 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0060)]\n M6: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0342, t=0.0048)]\n M7: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0150, t=0.0015)]\n M8: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0120, t=0.0013)]\n M9: J3-J8 [6061_T6_Aluminum, Pipe(r=0.0250, t=0.0035)]\n M10: J4-J9 [6061_T6_Aluminum, Pipe(r=0.0322, t=0.0046)]\n M11: J0-J6 [6061_T6_Aluminum, Pipe(r=0.0360, t=0.0051)]\n M12: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0284, t=0.0040)]\n M13: J1-J7 [6061_T6_Aluminum, Pipe(r=0.0314, t=0.0044)]\n M14: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0337, t=0.0039)]\n M15: J2-J8 [6061_T6_Aluminum, Pipe(r=0.0344, t=0.0049)]\n M16: J3-J9 [6061_T6_Aluminum, Pipe(r=0.0379, t=0.0054)]\n M17: J4-J8 [6061_T6_Aluminum, Pipe(r=0.0464, t=0.0066)]\n\nLOADING:\n Joint J5: Force=(0, -59919, 0) N\n Joint J8: Force=(0, -56923, 0) N\n Joint J9: Force=(0, -37114, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 225.17 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 143.7734564006022, "fos_buckling": 0.785347329652575, "fos_yielding": 2.4226747408612264, "deflection": 0.014658643682115908, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.592)", "SCALE_PARAM(17, thickness, 1.435)", "SCALE_PARAM(5, thickness, 1.311)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.033743, 0.005624)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.015033, 0.002506)", "SCALE_PARAM(15, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_0", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(0, thickness, 1.227)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(8, thickness, 1.242)", "SCALE_PARAM(7, thickness, 1.639)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_1", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(0, thickness, 1.232)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005865)", "SCALE_PARAM(4, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(10, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_2", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.279)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006266)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(9, thickness, 1.178)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_3", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.148)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006171)", "SCALE_PARAM(2, thickness, 1.372)", "SCALE_PARAM(all_members, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_4", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(9, thickness, 1.337)", "SCALE_PARAM(9, thickness, 1.274)", "SCALE_PARAM(10, thickness, 1.504)", "SCALE_PARAM(6, thickness, 1.658)", "SCALE_PARAM(9, thickness, 1.292)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_5", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_6", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(1, thickness, 1.372)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(5, thickness, 1.408)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_7", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(8, thickness, 1.364)", "SCALE_PARAM(9, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_8", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.304)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005371)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(4, thickness, 1.225)", "SCALE_PARAM(2, thickness, 1.333)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_9", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.522)", "SCALE_PARAM(10, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.117)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_10", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007024)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005977)", "SCALE_PARAM(5, thickness, 1.361)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_11", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.151)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(10, thickness, 1.661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_12", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(2, thickness, 1.359)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(8, thickness, 1.238)", "SCALE_PARAM(3, thickness, 1.370)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_13", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003369)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(2, thickness, 1.560)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_14", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(5, thickness, 1.493)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(5, thickness, 1.236)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_15", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005023)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.140)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007283)", "SCALE_PARAM(all_members, thickness, 1.117)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_16", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007231)", "SCALE_PARAM(9, thickness, 1.550)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(0, thickness, 1.192)", "SCALE_PARAM(4, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_17", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(8, thickness, 1.429)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.321)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_18", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_19", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_20", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006094)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006828)", "SCALE_PARAM(5, thickness, 1.346)", "SCALE_PARAM(9, thickness, 1.192)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(8, thickness, 1.272)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_21", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.175)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_22", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_23", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004054)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.302)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(8, thickness, 1.597)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_24", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.200)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006374)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006311)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(7, thickness, 1.256)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_25", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002653)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(1, thickness, 1.379)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_26", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004154)", "SCALE_PARAM(9, thickness, 1.259)", "SCALE_PARAM(7, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(10, thickness, 1.272)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_27", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003091)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005566)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(10, thickness, 1.449)", "SCALE_PARAM(1, thickness, 1.212)", "SCALE_PARAM(4, thickness, 1.553)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_28", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005707)", "SCALE_PARAM(all_members, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_29", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004374)", "SCALE_PARAM(1, thickness, 1.195)", "SCALE_PARAM(3, thickness, 1.616)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(7, thickness, 1.536)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_30", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.247)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006904)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(2, thickness, 1.572)", "SCALE_PARAM(3, thickness, 1.222)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(10, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_31", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "SCALE_PARAM(7, thickness, 1.562)", "SCALE_PARAM(0, thickness, 1.316)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(6, thickness, 1.323)", "SCALE_PARAM(1, thickness, 1.481)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_32", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.236)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002503)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(9, thickness, 1.385)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005666)", "SCALE_PARAM(all_members, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_33", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(5, thickness, 1.550)", "SCALE_PARAM(5, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_34", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.256)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004613)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005507)", "SCALE_PARAM(6, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.159)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_35", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006176)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(3, thickness, 1.553)", "SCALE_PARAM(2, thickness, 1.233)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_36", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005202)", "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_37", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004524)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004479)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(5, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_38", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003772)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006612)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005823)", "SCALE_PARAM(2, thickness, 1.477)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005627)", "SCALE_PARAM(all_members, thickness, 1.224)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_39", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.456)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004895)", "SCALE_PARAM(5, thickness, 1.667)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(4, thickness, 1.513)", "SCALE_PARAM(8, thickness, 1.351)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_40", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(7, thickness, 1.383)", "SCALE_PARAM(7, thickness, 1.629)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_41", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.318)", "SCALE_PARAM(9, thickness, 1.299)", "SCALE_PARAM(0, thickness, 1.449)", "SCALE_PARAM(7, thickness, 1.464)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(6, thickness, 1.215)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_42", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.661)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(9, thickness, 1.410)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(2, thickness, 1.272)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_43", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002414)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004347)", "SCALE_PARAM(1, thickness, 1.221)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_44", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(4, thickness, 1.595)", "SCALE_PARAM(all_members, thickness, 1.172)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_45", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005423)", "SCALE_PARAM(4, thickness, 1.626)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005189)", "SCALE_PARAM(0, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_46", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003987)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(7, thickness, 1.381)", "SCALE_PARAM(all_members, thickness, 1.325)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_47", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006477)", "SCALE_PARAM(all_members, thickness, 1.256)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_48", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.002226)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.001172)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_49", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.125)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004189)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002304)", "SCALE_PARAM(8, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(1, thickness, 1.372)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_50", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "SCALE_PARAM(3, thickness, 1.202)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_51", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005074)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005963)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003209)", "SCALE_PARAM(5, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_52", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.003918)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_53", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_54", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006070)", "SCALE_PARAM(4, thickness, 1.276)", "SCALE_PARAM(8, thickness, 1.185)", "SCALE_PARAM(9, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_55", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006425)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003381)", "SCALE_PARAM(6, thickness, 1.558)", "SCALE_PARAM(0, thickness, 1.538)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_56", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_57", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_58", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.572)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005133)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005103)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_59", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005112)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_60", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.284)", "SCALE_PARAM(1, thickness, 1.645)", "SCALE_PARAM(10, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.149)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_61", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.002992)", "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(8, thickness, 1.597)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005509)", "SCALE_PARAM(all_members, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_62", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(6, thickness, 1.543)", "SCALE_PARAM(9, thickness, 1.406)", "SCALE_PARAM(5, thickness, 1.285)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_63", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.661)", "SCALE_PARAM(all_members, thickness, 1.182)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_64", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006121)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007236)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_65", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.003754)", "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003985)", "SCALE_PARAM(0, thickness, 1.481)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_66", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.433)", "SCALE_PARAM(8, thickness, 1.420)", "SCALE_PARAM(10, thickness, 1.391)", "SCALE_PARAM(4, thickness, 1.261)", "SCALE_PARAM(5, thickness, 1.236)", "SCALE_PARAM(0, thickness, 1.587)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_67", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006105)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005344)", "SCALE_PARAM(all_members, thickness, 1.333)", "SCALE_PARAM(4, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_68", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004421)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_69", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.003762)", "SCALE_PARAM(1, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_70", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005263)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(6, thickness, 1.229)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005228)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005410)", "SCALE_PARAM(all_members, thickness, 1.318)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_71", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005452)", "SCALE_PARAM(7, thickness, 1.449)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(7, thickness, 1.353)", "SCALE_PARAM(all_members, thickness, 1.151)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_72", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.524)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006019)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006078)", "SCALE_PARAM(all_members, thickness, 1.133)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_73", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.250)", "SCALE_PARAM(7, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "SCALE_PARAM(1, thickness, 1.269)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_74", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(7, thickness, 1.626)", "SCALE_PARAM(0, thickness, 1.416)", "SCALE_PARAM(4, thickness, 1.263)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005308)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006300)", "SCALE_PARAM(all_members, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_75", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.309)", "SCALE_PARAM(9, thickness, 1.600)", "SCALE_PARAM(7, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(10, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_76", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.546)", "SCALE_PARAM(0, thickness, 1.220)", "SCALE_PARAM(2, thickness, 1.299)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_77", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(0, thickness, 1.408)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_78", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.546)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(1, thickness, 1.642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_79", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.381)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005861)", "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_80", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.342)", "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_81", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.003924)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(6, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_82", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005258)", "SCALE_PARAM(7, thickness, 1.511)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002461)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005413)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(0, thickness, 1.351)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_83", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.198)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004973)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(2, thickness, 1.385)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_84", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(4, thickness, 1.256)", "SCALE_PARAM(9, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_85", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004354)", "SCALE_PARAM(2, thickness, 1.368)", "SCALE_PARAM(3, thickness, 1.351)", "SCALE_PARAM(0, thickness, 1.565)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006211)", "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_86", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006107)", "SCALE_PARAM(all_members, thickness, 1.333)", "SCALE_PARAM(9, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_87", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "SCALE_PARAM(4, thickness, 1.397)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_88", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006007)", "SCALE_PARAM(2, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.135)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_89", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(3, thickness, 1.261)", "SCALE_PARAM(2, thickness, 1.629)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_90", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.326)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006251)", "SCALE_PARAM(all_members, thickness, 1.302)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_91", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.493)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(2, thickness, 1.383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_92", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.527)", "SCALE_PARAM(3, thickness, 1.255)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(6, thickness, 1.364)", "SCALE_PARAM(3, thickness, 1.188)", "SCALE_PARAM(0, thickness, 1.188)", "SCALE_PARAM(6, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_93", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.212)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006177)", "SCALE_PARAM(8, thickness, 1.393)", "SCALE_PARAM(all_members, thickness, 1.153)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_94", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.580)", "SCALE_PARAM(8, thickness, 1.186)", "SCALE_PARAM(5, thickness, 1.401)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_95", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004487)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(3, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_96", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.220)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(3, thickness, 1.527)", "SCALE_PARAM(6, thickness, 1.553)", "SCALE_PARAM(2, thickness, 1.437)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_97", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.307)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(2, thickness, 1.248)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_98", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(1, thickness, 1.252)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_99", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_100", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006946)", "SCALE_PARAM(5, thickness, 1.520)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(3, thickness, 1.242)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_101", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(4, thickness, 1.508)", "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(1, thickness, 1.441)", "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_102", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.577)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005696)", "SCALE_PARAM(4, thickness, 1.339)", "SCALE_PARAM(9, thickness, 1.527)", "SCALE_PARAM(all_members, thickness, 1.198)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_103", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.634)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(0, thickness, 1.274)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_104", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002948)", "SCALE_PARAM(7, thickness, 1.460)", "SCALE_PARAM(2, thickness, 1.508)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(3, thickness, 1.199)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_105", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(0, thickness, 1.529)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_106", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003850)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(1, thickness, 1.572)", "SCALE_PARAM(0, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_107", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.412)", "SCALE_PARAM(all_members, thickness, 1.174)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006723)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006683)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(0, thickness, 1.464)", "SCALE_PARAM(6, thickness, 1.377)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_108", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002331)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004429)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004980)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(10, thickness, 1.623)", "SCALE_PARAM(3, thickness, 1.493)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_109", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.333)", "SCALE_PARAM(7, thickness, 1.422)", "SCALE_PARAM(1, thickness, 1.312)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_110", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(6, thickness, 1.605)", "SCALE_PARAM(5, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_111", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005800)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(9, thickness, 1.307)", "SCALE_PARAM(2, thickness, 1.188)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_112", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006393)", "SCALE_PARAM(all_members, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_113", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003914)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004090)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(6, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(10, thickness, 1.517)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_114", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(8, thickness, 1.645)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(3, thickness, 1.256)", "SCALE_PARAM(1, thickness, 1.299)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_115", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(0, thickness, 1.239)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "SCALE_PARAM(2, thickness, 1.420)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_116", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005609)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006308)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005315)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005368)", "SCALE_PARAM(all_members, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_117", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.497)", "SCALE_PARAM(6, thickness, 1.200)", "SCALE_PARAM(9, thickness, 1.548)", "SCALE_PARAM(8, thickness, 1.522)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003057)", "SCALE_PARAM(all_members, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_118", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.401)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(3, thickness, 1.567)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_119", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003005)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002067)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.333)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006841)", "SCALE_PARAM(2, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_120", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(7, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.198)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_121", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_122", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.003360)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(7, thickness, 1.543)", "SCALE_PARAM(1, thickness, 1.350)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005718)", "SCALE_PARAM(all_members, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_123", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004215)", "SCALE_PARAM(all_members, thickness, 1.127)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004705)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(7, thickness, 1.600)", "SCALE_PARAM(7, thickness, 1.490)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_124", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(9, thickness, 1.517)", "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_125", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.410)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004658)", "SCALE_PARAM(5, thickness, 1.631)", "SCALE_PARAM(all_members, thickness, 1.307)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003382)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(9, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_126", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.401)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006116)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(7, thickness, 1.575)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_127", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.511)", "SCALE_PARAM(6, thickness, 1.307)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_128", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.404)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(5, thickness, 1.570)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_129", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(7, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_130", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_131", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004228)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_132", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007220)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006107)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(1, thickness, 1.529)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_133", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(6, thickness, 1.393)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004279)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(0, thickness, 1.208)", "SCALE_PARAM(3, thickness, 1.592)", "SCALE_PARAM(2, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_134", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(7, thickness, 1.590)", "SCALE_PARAM(2, thickness, 1.626)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_135", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.536)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(0, thickness, 1.307)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005887)", "SCALE_PARAM(all_members, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_136", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002360)", "SCALE_PARAM(1, thickness, 1.524)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004248)", "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005728)", "SCALE_PARAM(all_members, thickness, 1.256)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_137", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.458)", "SCALE_PARAM(4, thickness, 1.176)", "SCALE_PARAM(7, thickness, 1.418)", "SCALE_PARAM(3, thickness, 1.451)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_138", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_139", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006833)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(9, thickness, 1.484)", "SCALE_PARAM(8, thickness, 1.445)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_140", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004963)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.127)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(5, thickness, 1.439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_141", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.235)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "SCALE_PARAM(9, thickness, 1.585)", "SCALE_PARAM(4, thickness, 1.538)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_142", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005549)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(2, thickness, 1.637)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_143", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.221)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(9, thickness, 1.541)", "SCALE_PARAM(8, thickness, 1.565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_144", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(5, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(1, thickness, 1.433)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_145", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(1, thickness, 1.570)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(8, thickness, 1.515)", "SCALE_PARAM(8, thickness, 1.383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_146", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.178)", "SCALE_PARAM(10, thickness, 1.274)", "SCALE_PARAM(1, thickness, 1.364)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_147", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(3, thickness, 1.422)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(0, thickness, 1.321)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_148", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_149", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006198)", "SCALE_PARAM(9, thickness, 1.433)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(5, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(4, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_150", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.488)", "SCALE_PARAM(0, thickness, 1.397)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_151", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.597)", "SCALE_PARAM(1, thickness, 1.460)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005654)", "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006987)", "SCALE_PARAM(all_members, thickness, 1.166)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_152", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006037)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006248)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003321)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007095)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_153", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005606)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(10, thickness, 1.637)", "SCALE_PARAM(7, thickness, 1.538)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_154", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002427)", "SCALE_PARAM(9, thickness, 1.404)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(5, thickness, 1.247)", "SCALE_PARAM(6, thickness, 1.383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_155", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002100)", "SCALE_PARAM(4, thickness, 1.406)", "SCALE_PARAM(4, thickness, 1.282)", "SCALE_PARAM(0, thickness, 1.488)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_156", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(10, thickness, 1.292)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_157", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.176)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002366)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.255)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_158", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006529)", "SCALE_PARAM(4, thickness, 1.239)", "SCALE_PARAM(3, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.247)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_159", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002638)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(7, thickness, 1.590)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_160", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(9, thickness, 1.637)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_161", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006401)", "SCALE_PARAM(6, thickness, 1.326)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007312)", "SCALE_PARAM(all_members, thickness, 1.114)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(3, thickness, 1.546)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_162", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_163", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005784)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006607)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005535)", "SCALE_PARAM(8, thickness, 1.441)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(2, thickness, 1.460)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_164", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006136)", "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006882)", "SCALE_PARAM(all_members, thickness, 1.176)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_165", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.462)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(2, thickness, 1.585)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_166", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005193)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_167", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.314)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_168", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005554)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003085)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004071)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(7, thickness, 1.439)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_169", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.256)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(4, thickness, 1.256)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_170", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003850)", "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005084)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_171", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.318)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_172", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006855)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(6, thickness, 1.342)", "SCALE_PARAM(0, thickness, 1.621)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_173", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(7, thickness, 1.290)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_174", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006846)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006052)", "SCALE_PARAM(8, thickness, 1.484)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006806)", "SCALE_PARAM(all_members, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_175", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.582)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(10, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_176", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.429)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(10, thickness, 1.381)", "SCALE_PARAM(6, thickness, 1.259)", "SCALE_PARAM(0, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_177", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(5, thickness, 1.538)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(5, thickness, 1.658)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_178", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(4, thickness, 1.567)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(4, thickness, 1.393)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(8, thickness, 1.300)", "SCALE_PARAM(7, thickness, 1.555)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_179", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006618)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(6, thickness, 1.351)", "SCALE_PARAM(6, thickness, 1.332)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_180", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004590)", "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005400)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(5, thickness, 1.565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_181", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005955)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003165)", "SCALE_PARAM(7, thickness, 1.511)", "SCALE_PARAM(all_members, thickness, 1.196)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_182", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005701)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005402)", "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(10, thickness, 1.242)", "SCALE_PARAM(5, thickness, 1.346)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_183", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.182)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(8, thickness, 1.198)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_184", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.269)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004960)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(6, thickness, 1.206)", "SCALE_PARAM(4, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_185", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(5, thickness, 1.506)", "SCALE_PARAM(0, thickness, 1.621)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_186", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002739)", "SCALE_PARAM(all_members, thickness, 1.225)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007213)", "SCALE_PARAM(all_members, thickness, 1.129)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_187", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(1, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(0, thickness, 1.550)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_188", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003618)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.003781)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(0, thickness, 1.342)", "SCALE_PARAM(all_members, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_189", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(3, thickness, 1.522)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_190", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_191", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.376)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(1, thickness, 1.387)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_192", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005694)", "SCALE_PARAM(8, thickness, 1.397)", "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_193", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "SCALE_PARAM(9, thickness, 1.193)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_194", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003898)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(2, thickness, 1.550)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_195", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(10, thickness, 1.389)", "SCALE_PARAM(1, thickness, 1.256)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_196", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006719)", "SCALE_PARAM(all_members, thickness, 1.212)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_197", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(5, thickness, 1.418)", "SCALE_PARAM(5, thickness, 1.271)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_198", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(7, thickness, 1.585)", "SCALE_PARAM(7, thickness, 1.266)", "SCALE_PARAM(8, thickness, 1.453)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_199", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(1, thickness, 1.244)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006613)", "SCALE_PARAM(0, thickness, 1.233)", "SCALE_PARAM(4, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.224)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_200", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.149)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006081)", "SCALE_PARAM(all_members, thickness, 1.133)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_201", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006730)", "SCALE_PARAM(9, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_202", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.241)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004234)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(4, thickness, 1.351)", "SCALE_PARAM(all_members, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_203", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004842)", "SCALE_PARAM(all_members, thickness, 1.151)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004906)", "SCALE_PARAM(all_members, thickness, 1.224)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(9, thickness, 1.186)", "SCALE_PARAM(2, thickness, 1.224)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_204", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.600)", "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003025)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_205", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.247)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_206", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006293)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(3, thickness, 1.522)", "SCALE_PARAM(4, thickness, 1.613)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_207", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(9, thickness, 1.280)", "SCALE_PARAM(2, thickness, 1.499)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_208", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004618)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004826)", "SCALE_PARAM(4, thickness, 1.520)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005513)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(6, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_209", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.196)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005752)", "SCALE_PARAM(all_members, thickness, 1.239)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_210", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.208)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "SCALE_PARAM(6, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_211", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.001485)", "SCALE_PARAM(0, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(7, thickness, 1.631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_212", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005887)", "SCALE_PARAM(9, thickness, 1.613)", "SCALE_PARAM(2, thickness, 1.420)", "SCALE_PARAM(9, thickness, 1.290)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006987)", "SCALE_PARAM(4, thickness, 1.513)", "SCALE_PARAM(all_members, thickness, 1.159)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_213", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.218)", "SCALE_PARAM(7, thickness, 1.190)", "SCALE_PARAM(9, thickness, 1.595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_214", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_215", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.522)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004255)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.325)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_216", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.361)", "SCALE_PARAM(0, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(2, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_217", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005939)", "SCALE_PARAM(1, thickness, 1.560)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(10, thickness, 1.443)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_218", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.506)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(2, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_219", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_220", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.522)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005437)", "SCALE_PARAM(4, thickness, 1.536)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(3, thickness, 1.595)", "SCALE_PARAM(6, thickness, 1.658)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_221", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005007)", "SCALE_PARAM(9, thickness, 1.422)", "SCALE_PARAM(3, thickness, 1.431)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_222", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(4, thickness, 1.312)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(all_members, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_223", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.297)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003241)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(0, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_224", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.513)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(4, thickness, 1.427)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(8, thickness, 1.351)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_225", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.404)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003213)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(3, thickness, 1.364)", "SCALE_PARAM(all_members, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_226", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005171)", "SCALE_PARAM(4, thickness, 1.316)", "SCALE_PARAM(9, thickness, 1.575)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_227", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.200)", "SCALE_PARAM(0, thickness, 1.312)", "SCALE_PARAM(6, thickness, 1.412)", "SCALE_PARAM(5, thickness, 1.656)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_228", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(10, thickness, 1.377)", "SCALE_PARAM(2, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_229", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(3, thickness, 1.567)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_230", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004191)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(all_members, thickness, 1.294)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_231", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004772)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.174)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(10, thickness, 1.340)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_232", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004012)", "SCALE_PARAM(all_members, thickness, 1.256)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(2, thickness, 1.366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_233", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.637)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.134)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_234", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.202)", "SCALE_PARAM(1, thickness, 1.553)", "SCALE_PARAM(all_members, thickness, 1.140)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002875)", "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005982)", "SCALE_PARAM(all_members, thickness, 1.151)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_235", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006104)", "SCALE_PARAM(7, thickness, 1.383)", "SCALE_PARAM(5, thickness, 1.351)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(4, thickness, 1.495)", "SCALE_PARAM(all_members, thickness, 1.142)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_236", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.233)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(5, thickness, 1.565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_237", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.527)", "SCALE_PARAM(8, thickness, 1.179)", "SCALE_PARAM(0, thickness, 1.504)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_238", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004829)", "SCALE_PARAM(2, thickness, 1.650)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(5, thickness, 1.439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_239", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(0, thickness, 1.466)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.119)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_240", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007232)", "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(8, thickness, 1.582)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(10, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_241", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.600)", "SCALE_PARAM(0, thickness, 1.451)", "SCALE_PARAM(1, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_242", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.117)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006633)", "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_243", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003227)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005360)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004739)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(3, thickness, 1.391)", "SCALE_PARAM(6, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_244", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.217)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(7, thickness, 1.332)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_245", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(9, thickness, 1.383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_246", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004711)", "SCALE_PARAM(5, thickness, 1.339)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(0, thickness, 1.439)", "SCALE_PARAM(all_members, thickness, 1.236)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_247", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006076)", "SCALE_PARAM(3, thickness, 1.203)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005403)", "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_248", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(7, thickness, 1.577)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005782)", "SCALE_PARAM(8, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_249", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003048)", "SCALE_PARAM(all_members, thickness, 1.242)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_250", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005297)", "SCALE_PARAM(5, thickness, 1.585)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(7, thickness, 1.453)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_251", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(0, thickness, 1.339)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_252", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.138)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(8, thickness, 1.353)", "SCALE_PARAM(4, thickness, 1.560)", "SCALE_PARAM(0, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_253", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(0, thickness, 1.555)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_254", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.319)", "SCALE_PARAM(4, thickness, 1.522)", "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005443)", "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "SCALE_PARAM(8, thickness, 1.623)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_255", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005758)", "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_256", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.299)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007037)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006258)", "SCALE_PARAM(6, thickness, 1.506)", "SCALE_PARAM(all_members, thickness, 1.149)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_257", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.570)", "SCALE_PARAM(0, thickness, 1.462)", "SCALE_PARAM(7, thickness, 1.608)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(1, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_258", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(6, thickness, 1.603)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005204)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(8, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_259", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005800)", "SCALE_PARAM(4, thickness, 1.493)", "SCALE_PARAM(7, thickness, 1.279)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005605)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(4, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_260", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005512)", "SCALE_PARAM(2, thickness, 1.567)", "SCALE_PARAM(5, thickness, 1.468)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(4, thickness, 1.353)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_261", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005962)", "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_262", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_263", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.232)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006159)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(5, thickness, 1.276)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_264", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(4, thickness, 1.585)", "SCALE_PARAM(9, thickness, 1.650)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_265", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004268)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(6, thickness, 1.441)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_266", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(2, thickness, 1.206)", "SCALE_PARAM(1, thickness, 1.536)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_267", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004422)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(2, thickness, 1.397)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006393)", "SCALE_PARAM(all_members, thickness, 1.274)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(6, thickness, 1.395)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_268", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_269", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004357)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005686)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005742)", "SCALE_PARAM(9, thickness, 1.605)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(8, thickness, 1.377)", "SCALE_PARAM(9, thickness, 1.493)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_270", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(2, thickness, 1.186)", "SCALE_PARAM(6, thickness, 1.647)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_271", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(5, thickness, 1.302)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_272", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.395)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005984)", "SCALE_PARAM(all_members, thickness, 1.151)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_273", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005149)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004507)", "SCALE_PARAM(4, thickness, 1.299)", "SCALE_PARAM(0, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_274", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.244)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "SCALE_PARAM(4, thickness, 1.490)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_275", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003120)", "SCALE_PARAM(all_members, thickness, 1.214)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004859)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(3, thickness, 1.403)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_276", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005301)", "SCALE_PARAM(0, thickness, 1.592)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005354)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(7, thickness, 1.215)", "SCALE_PARAM(8, thickness, 1.335)", "SCALE_PARAM(5, thickness, 1.495)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_277", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(7, thickness, 1.462)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_278", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005467)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005769)", "SCALE_PARAM(all_members, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_279", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002196)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(7, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_280", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(0, thickness, 1.374)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_281", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(6, thickness, 1.272)", "SCALE_PARAM(7, thickness, 1.272)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_282", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005764)", "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "SCALE_PARAM(8, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_283", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_284", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.309)", "SCALE_PARAM(1, thickness, 1.387)", "SCALE_PARAM(7, thickness, 1.244)", "SCALE_PARAM(4, thickness, 1.403)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_285", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.626)", "SCALE_PARAM(all_members, thickness, 1.166)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(8, thickness, 1.667)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_286", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.610)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005269)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002898)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(0, thickness, 1.410)", "SCALE_PARAM(all_members, thickness, 1.155)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_287", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006439)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(1, thickness, 1.616)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(6, thickness, 1.236)", "SCALE_PARAM(5, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_288", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.167)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_289", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.225)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004110)", "SCALE_PARAM(all_members, thickness, 1.244)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005162)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_290", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005679)", "SCALE_PARAM(8, thickness, 1.527)", "SCALE_PARAM(1, thickness, 1.372)", "SCALE_PARAM(7, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_291", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.179)", "SCALE_PARAM(2, thickness, 1.236)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006367)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(6, thickness, 1.292)", "SCALE_PARAM(2, thickness, 1.435)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_292", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "SCALE_PARAM(2, thickness, 1.475)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_293", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.513)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(0, thickness, 1.451)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(0, thickness, 1.520)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "SCALE_PARAM(6, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_294", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005663)", "SCALE_PARAM(7, thickness, 1.429)", "SCALE_PARAM(2, thickness, 1.348)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_295", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(6, thickness, 1.269)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "SCALE_PARAM(6, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_296", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.408)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006148)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(2, thickness, 1.344)", "SCALE_PARAM(4, thickness, 1.339)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_297", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.531)", "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(4, thickness, 1.479)", "SCALE_PARAM(10, thickness, 1.429)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_298", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(4, thickness, 1.299)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_299", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.245)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_300", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005328)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006299)", "SCALE_PARAM(1, thickness, 1.484)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002931)", "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_301", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.239)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005858)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005209)", "SCALE_PARAM(all_members, thickness, 1.176)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006933)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_302", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.001676)", "SCALE_PARAM(7, thickness, 1.425)", "SCALE_PARAM(all_members, thickness, 1.203)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004308)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.255)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_303", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004781)", "SCALE_PARAM(all_members, thickness, 1.143)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003035)", "SCALE_PARAM(2, thickness, 1.506)", "SCALE_PARAM(all_members, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_304", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006464)", "SCALE_PARAM(all_members, thickness, 1.114)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(3, thickness, 1.587)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_305", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(all_members, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_306", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(all_members, thickness, 1.261)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004540)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.133)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_307", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.235)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_308", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.359)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(3, thickness, 1.497)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_309", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.135)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006194)", "SCALE_PARAM(all_members, thickness, 1.161)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_310", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006349)", "SCALE_PARAM(6, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.134)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_311", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.121)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_312", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.003425)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003309)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(1, thickness, 1.616)", "SCALE_PARAM(all_members, thickness, 1.209)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_313", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002958)", "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_314", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(2, thickness, 1.458)", "SCALE_PARAM(0, thickness, 1.431)", "SCALE_PARAM(all_members, thickness, 1.147)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_315", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.597)", "SCALE_PARAM(all_members, thickness, 1.116)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_316", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(4, thickness, 1.318)", "SCALE_PARAM(8, thickness, 1.274)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(1, thickness, 1.410)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_317", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.325)", "SCALE_PARAM(8, thickness, 1.621)", "SCALE_PARAM(8, thickness, 1.441)", "SCALE_PARAM(9, thickness, 1.330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_318", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.608)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007000)", "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(4, thickness, 1.361)", "SCALE_PARAM(0, thickness, 1.458)", "SCALE_PARAM(8, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_319", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.003860)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(5, thickness, 1.453)", "SCALE_PARAM(8, thickness, 1.524)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_320", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.410)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006280)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_321", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005383)", "SCALE_PARAM(0, thickness, 1.634)", "SCALE_PARAM(all_members, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_322", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.198)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005814)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(3, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_323", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(3, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_324", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.289)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(7, thickness, 1.316)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(8, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_325", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(9, thickness, 1.236)", "SCALE_PARAM(0, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(6, thickness, 1.366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_326", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.205)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_327", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.252)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(1, thickness, 1.631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_328", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.252)", "SCALE_PARAM(6, thickness, 1.361)", "SCALE_PARAM(4, thickness, 1.196)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005564)", "SCALE_PARAM(all_members, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_329", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.235)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(5, thickness, 1.342)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_330", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_331", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.004749)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006513)", "SCALE_PARAM(all_members, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_332", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005957)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005215)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005408)", "SCALE_PARAM(8, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.121)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_333", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005521)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002934)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006270)", "SCALE_PARAM(3, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.290)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_334", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.193)", "SCALE_PARAM(1, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(9, thickness, 1.211)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(10, thickness, 1.401)", "SCALE_PARAM(9, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_335", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005262)", "SCALE_PARAM(5, thickness, 1.351)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_336", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.661)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(5, thickness, 1.460)", "SCALE_PARAM(all_members, thickness, 1.259)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006434)", "SCALE_PARAM(all_members, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_337", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(6, thickness, 1.616)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004188)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006117)", "SCALE_PARAM(9, thickness, 1.447)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_338", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.266)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004325)", "SCALE_PARAM(all_members, thickness, 1.196)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006139)", "SCALE_PARAM(all_members, thickness, 1.176)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006148)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_339", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007202)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006304)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006366)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(5, thickness, 1.600)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_340", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005235)", "SCALE_PARAM(4, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.168)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006078)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005172)", "SCALE_PARAM(all_members, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_341", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(7, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_342", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003384)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006153)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006093)", "SCALE_PARAM(all_members, thickness, 1.119)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_343", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.520)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004226)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(4, thickness, 1.339)", "SCALE_PARAM(6, thickness, 1.572)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_344", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.316)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004865)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004701)", "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002895)", "SCALE_PARAM(all_members, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_345", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006777)", "SCALE_PARAM(1, thickness, 1.340)", "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005234)", "SCALE_PARAM(8, thickness, 1.376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_346", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004585)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.003004)", "SCALE_PARAM(8, thickness, 1.541)", "SCALE_PARAM(4, thickness, 1.406)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_347", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_348", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "SCALE_PARAM(4, thickness, 1.225)", "SCALE_PARAM(4, thickness, 1.431)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_349", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.235)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003494)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006239)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_350", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.326)", "SCALE_PARAM(1, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.285)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_351", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_352", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "SCALE_PARAM(0, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_353", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(7, thickness, 1.546)", "SCALE_PARAM(6, thickness, 1.230)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(10, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_354", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.616)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005779)", "SCALE_PARAM(all_members, thickness, 1.245)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_355", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "SCALE_PARAM(2, thickness, 1.330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_356", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005661)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005916)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(6, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_357", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(4, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(7, thickness, 1.335)", "SCALE_PARAM(7, thickness, 1.389)", "SCALE_PARAM(all_members, thickness, 1.285)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_358", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.176)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006220)", "SCALE_PARAM(5, thickness, 1.229)", "SCALE_PARAM(5, thickness, 1.637)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005292)", "SCALE_PARAM(0, thickness, 1.337)", "SCALE_PARAM(all_members, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_359", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.318)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_360", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004378)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_361", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(4, thickness, 1.587)", "SCALE_PARAM(9, thickness, 1.357)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_362", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(2, thickness, 1.393)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(0, thickness, 1.337)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_363", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.412)", "SCALE_PARAM(8, thickness, 1.192)", "SCALE_PARAM(9, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_364", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.266)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002207)", "SCALE_PARAM(8, thickness, 1.555)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(5, thickness, 1.529)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_365", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.007227)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006149)", "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002866)", "SCALE_PARAM(5, thickness, 1.321)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_366", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.634)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(4, thickness, 1.370)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_367", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(10, thickness, 1.309)", "SCALE_PARAM(9, thickness, 1.433)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_368", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.232)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006649)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005625)", "SCALE_PARAM(4, thickness, 1.366)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(0, thickness, 1.656)", "SCALE_PARAM(3, thickness, 1.337)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_369", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.418)", "SCALE_PARAM(6, thickness, 1.488)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_370", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005447)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002895)", "SCALE_PARAM(all_members, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_371", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(5, thickness, 1.433)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_372", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.002220)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.003665)", "SCALE_PARAM(3, thickness, 1.391)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.330)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006268)", "SCALE_PARAM(all_members, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_373", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(6, thickness, 1.183)", "SCALE_PARAM(6, thickness, 1.287)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_374", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.274)", "SCALE_PARAM(5, thickness, 1.381)", "SCALE_PARAM(4, thickness, 1.468)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004594)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.134)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_375", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.004926)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005459)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(10, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_376", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(all_members, thickness, 1.272)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(1, thickness, 1.176)", "SCALE_PARAM(10, thickness, 1.269)", "SCALE_PARAM(9, thickness, 1.337)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_377", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006375)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003716)", "SCALE_PARAM(2, thickness, 1.658)", "SCALE_PARAM(all_members, thickness, 1.117)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_378", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_379", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(4, thickness, 1.437)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(5, thickness, 1.185)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006358)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005566)", "SCALE_PARAM(all_members, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_380", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(3, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(5, thickness, 1.368)", "SCALE_PARAM(all_members, thickness, 1.233)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_381", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.541)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004576)", "SCALE_PARAM(all_members, thickness, 1.182)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005125)", "SCALE_PARAM(all_members, thickness, 1.330)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_382", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.570)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(0, thickness, 1.479)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_383", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.135)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "SCALE_PARAM(4, thickness, 1.242)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_384", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(1, thickness, 1.511)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005707)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006481)", "SCALE_PARAM(all_members, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_385", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004575)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.148)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003391)", "SCALE_PARAM(all_members, thickness, 1.117)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_386", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(8, thickness, 1.433)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003071)", "SCALE_PARAM(all_members, thickness, 1.233)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_387", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.294)", "SCALE_PARAM(4, thickness, 1.182)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_388", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(2, thickness, 1.565)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(1, thickness, 1.527)", "SCALE_PARAM(3, thickness, 1.289)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_389", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004312)", "SCALE_PARAM(8, thickness, 1.431)", "SCALE_PARAM(all_members, thickness, 1.166)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_390", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(0, thickness, 1.536)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(1, thickness, 1.558)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_391", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "SCALE_PARAM(2, thickness, 1.366)", "SCALE_PARAM(9, thickness, 1.543)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_392", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005468)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.116)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_393", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.495)", "SCALE_PARAM(4, thickness, 1.580)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006732)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(3, thickness, 1.295)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_394", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005494)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(3, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_395", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.221)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(4, thickness, 1.230)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_396", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_397", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.600)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004558)", "SCALE_PARAM(all_members, thickness, 1.161)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006285)", "SCALE_PARAM(8, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.287)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_398", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(7, thickness, 1.451)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_399", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.147)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005279)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(4, thickness, 1.372)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_400", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.220)", "SCALE_PARAM(6, thickness, 1.558)", "SCALE_PARAM(7, thickness, 1.205)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005962)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_401", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.506)", "SCALE_PARAM(2, thickness, 1.420)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "SCALE_PARAM(1, thickness, 1.188)", "SCALE_PARAM(0, thickness, 1.577)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_402", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(10, thickness, 1.183)", "SCALE_PARAM(2, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_403", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004295)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005078)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005048)", "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005751)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_404", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002793)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_405", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005929)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.003941)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(2, thickness, 1.453)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_406", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_407", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.220)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007007)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006195)", "SCALE_PARAM(all_members, thickness, 1.161)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(2, thickness, 1.570)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_408", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(10, thickness, 1.418)", "SCALE_PARAM(8, thickness, 1.294)", "SCALE_PARAM(0, thickness, 1.560)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(8, thickness, 1.511)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_409", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.499)", "SCALE_PARAM(3, thickness, 1.499)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_410", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.464)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006048)", "SCALE_PARAM(7, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.139)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_411", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(2, thickness, 1.408)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_412", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(0, thickness, 1.488)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_413", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(0, thickness, 1.376)", "SCALE_PARAM(4, thickness, 1.221)", "SCALE_PARAM(2, thickness, 1.376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_414", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.471)", "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "SCALE_PARAM(1, thickness, 1.647)", "SCALE_PARAM(2, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_415", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(8, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.178)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_416", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(6, thickness, 1.661)", "SCALE_PARAM(8, thickness, 1.531)", "SCALE_PARAM(7, thickness, 1.608)", "SCALE_PARAM(7, thickness, 1.348)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_417", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004330)", "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(9, thickness, 1.285)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_418", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006123)", "SCALE_PARAM(10, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_419", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_420", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006023)", "SCALE_PARAM(8, thickness, 1.222)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003346)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006083)", "SCALE_PARAM(all_members, thickness, 1.133)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_421", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005428)", "SCALE_PARAM(all_members, thickness, 1.256)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(2, thickness, 1.437)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_422", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(1, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_423", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(4, thickness, 1.253)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_424", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.610)", "SCALE_PARAM(4, thickness, 1.616)", "SCALE_PARAM(all_members, thickness, 1.136)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_425", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004333)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004529)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_426", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.629)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005583)", "SCALE_PARAM(9, thickness, 1.370)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.005528)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_427", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(0, thickness, 1.414)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(0, thickness, 1.330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_428", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(5, thickness, 1.408)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(9, thickness, 1.272)", "SCALE_PARAM(10, thickness, 1.497)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(2, thickness, 1.534)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_429", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005835)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(5, thickness, 1.304)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_430", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.287)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.005117)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002814)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_431", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.181)", "SCALE_PARAM(2, thickness, 1.203)", "SCALE_PARAM(1, thickness, 1.462)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004994)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(0, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_432", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003254)", "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(1, thickness, 1.342)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_433", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002341)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(1, thickness, 1.302)", "SCALE_PARAM(1, thickness, 1.259)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004967)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_434", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.422)", "SCALE_PARAM(4, thickness, 1.393)", "SCALE_PARAM(all_members, thickness, 1.299)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_435", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.203)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.005270)", "SCALE_PARAM(4, thickness, 1.616)", "SCALE_PARAM(0, thickness, 1.570)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.122)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_436", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.175)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005204)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(8, thickness, 1.403)", "SCALE_PARAM(10, thickness, 1.239)", "SCALE_PARAM(2, thickness, 1.183)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_437", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(1, thickness, 1.466)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_438", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(3, thickness, 1.337)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006245)", "SCALE_PARAM(6, thickness, 1.346)", "SCALE_PARAM(all_members, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_439", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.410)", "SCALE_PARAM(4, thickness, 1.490)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005704)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_440", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004633)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.233)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_441", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.222)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_442", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.447)", "SCALE_PARAM(all_members, thickness, 1.200)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "SCALE_PARAM(1, thickness, 1.387)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_443", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004579)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.208)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_444", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.493)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.214)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_445", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(5, thickness, 1.353)", "SCALE_PARAM(all_members, thickness, 1.206)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006460)", "SCALE_PARAM(all_members, thickness, 1.114)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_446", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.477)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006764)", "SCALE_PARAM(0, thickness, 1.351)", "SCALE_PARAM(all_members, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_447", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(8, thickness, 1.479)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_448", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(9, thickness, 1.580)", "SCALE_PARAM(6, thickness, 1.370)", "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_449", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006332)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.006394)", "SCALE_PARAM(6, thickness, 1.437)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(5, thickness, 1.572)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_450", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.003627)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_451", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.225)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(4, thickness, 1.613)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_452", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(1, thickness, 1.364)", "SCALE_PARAM(1, thickness, 1.195)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "SCALE_PARAM(0, thickness, 1.238)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_453", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.527)", "SCALE_PARAM(5, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_454", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002170)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006834)", "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "SCALE_PARAM(6, thickness, 1.429)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_455", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.238)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006549)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(8, thickness, 1.328)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(5, thickness, 1.209)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_456", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003193)", "SCALE_PARAM(all_members, thickness, 1.186)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_457", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(1, thickness, 1.385)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_458", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.515)", "SCALE_PARAM(7, thickness, 1.181)", "SCALE_PARAM(9, thickness, 1.376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_459", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_460", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.135)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.008140)", "SCALE_PARAM(5, thickness, 1.264)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_461", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.002861)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006118)", "SCALE_PARAM(all_members, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_462", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(10, thickness, 1.406)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_463", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.555)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(1, thickness, 1.381)", "SCALE_PARAM(all_members, thickness, 1.134)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_464", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.351)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006277)", "SCALE_PARAM(0, thickness, 1.477)", "SCALE_PARAM(8, thickness, 1.297)", "SCALE_PARAM(0, thickness, 1.193)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_465", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006419)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.002987)", "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_466", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.003988)", "SCALE_PARAM(6, thickness, 1.511)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.148)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006886)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_467", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006131)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006963)", "SCALE_PARAM(5, thickness, 1.447)", "SCALE_PARAM(6, thickness, 1.626)", "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(4, thickness, 1.435)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_468", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.332)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.004083)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006038)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007138)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_469", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(7, thickness, 1.218)", "SCALE_PARAM(3, thickness, 1.473)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_470", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(5, thickness, 1.558)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "SCALE_PARAM(3, thickness, 1.355)", "SCALE_PARAM(3, thickness, 1.215)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_471", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.353)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005292)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(7, thickness, 1.458)", "SCALE_PARAM(all_members, thickness, 1.157)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_472", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_473", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(7, thickness, 1.193)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004870)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(6, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(all_members, thickness, 1.119)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_474", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(4, thickness, 1.445)", "SCALE_PARAM(7, thickness, 1.361)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_475", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.427)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005094)", "SCALE_PARAM(10, thickness, 1.597)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_476", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(6, thickness, 1.610)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.007124)", "SCALE_PARAM(2, thickness, 1.321)", "SCALE_PARAM(8, thickness, 1.515)", "SCALE_PARAM(all_members, thickness, 1.143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_477", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.005037)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(5, thickness, 1.368)", "SCALE_PARAM(2, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_478", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.182)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.006146)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_479", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.175)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.006100)", "SCALE_PARAM(all_members, thickness, 1.168)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_480", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.300)", "SCALE_PARAM(1, thickness, 1.553)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006869)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006910)", "SCALE_PARAM(all_members, thickness, 1.178)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_481", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_482", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.005750)", "SCALE_PARAM(all_members, thickness, 1.186)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_483", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.511)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006514)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(8, thickness, 1.493)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_484", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.285)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004659)", "SCALE_PARAM(0, thickness, 1.244)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "SCALE_PARAM(8, thickness, 1.546)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_485", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.506)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(5, thickness, 1.205)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.005283)", "SCALE_PARAM(4, thickness, 1.441)", "SCALE_PARAM(9, thickness, 1.541)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.007126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_486", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(0, thickness, 1.183)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.040910, 0.006818)", "SCALE_PARAM(8, thickness, 1.287)", "SCALE_PARAM(0, thickness, 1.318)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_487", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003357)", "SCALE_PARAM(8, thickness, 1.427)", "SCALE_PARAM(0, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.129)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_488", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.299)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "SCALE_PARAM(5, thickness, 1.661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_489", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "SCALE_PARAM(8, thickness, 1.238)", "SCALE_PARAM(3, thickness, 1.548)", "SCALE_PARAM(1, thickness, 1.524)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.008092)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_490", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.623)", "SCALE_PARAM(9, thickness, 1.664)", "SCALE_PARAM(1, thickness, 1.621)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_491", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.543)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.048839, 0.006525)", "SCALE_PARAM(all_members, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_492", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(2, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(all_members, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_493", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(7, thickness, 1.376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_494", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(8, thickness, 1.610)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_495", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.048553, 0.006311)", "SCALE_PARAM(5, thickness, 1.368)", "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.004162)", "SCALE_PARAM(2, thickness, 1.199)", "SCALE_PARAM(8, thickness, 1.387)", "SCALE_PARAM(8, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_496", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.041314, 0.004425)", "SCALE_PARAM(2, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.224)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.043176, 0.007196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_497", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.042754, 0.004716)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(4, thickness, 1.621)", "SCALE_PARAM(all_members, thickness, 1.287)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_498", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.464)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.022723, 0.003787)", "SCALE_PARAM(10, thickness, 1.562)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_091", "trace_id": "auto_problem_091_trace_499", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 91)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.99, 0.00) [free]\n J2: pos=(9.99, 0.00) [roller]\n J3: pos=(0.00, 1.78) [free]\n J4: pos=(4.99, 1.78) [free]\n J5: pos=(9.99, 1.78) [free]\n\nMembers (9 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0465, t=0.0068)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0467, t=0.0069)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0413, t=0.0061)]\n M3: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0308, t=0.0045)]\n M4: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0227, t=0.0033)]\n M5: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0330, t=0.0033)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0486, t=0.0071)]\n M7: J1-J3 [6061_T6_Aluminum, Pipe(r=0.0432, t=0.0063)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0063)]\n\nLOADING:\n Joint J3: Force=(0, -39884, 0) N\n Joint J4: Force=(0, -36506, 0) N\n Joint J5: Force=(0, -55940, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 250.39 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 150.5685221944721, "fos_buckling": 0.8669758962860347, "fos_yielding": 4.284964583105404, "deflection": 0.011438338198455363, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(2, thickness, 1.379)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_0", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001996)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(7, thickness, 1.475)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_1", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_2", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.001883)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.001818)", "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002326)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_3", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(8, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.244)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "SCALE_PARAM(12, thickness, 1.597)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_4", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.166)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_5", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(0, thickness, 1.531)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003270)", "SCALE_PARAM(all_members, thickness, 1.136)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_6", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(0, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_7", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.435)", "SCALE_PARAM(8, thickness, 1.592)", "SCALE_PARAM(all_members, thickness, 1.178)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.001828)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_8", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(1, thickness, 1.499)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002794)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "SCALE_PARAM(4, thickness, 1.192)", "SCALE_PARAM(0, thickness, 1.555)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_9", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.445)", "SCALE_PARAM(5, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_10", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.200)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002804)", "SCALE_PARAM(all_members, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_11", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002420)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003540)", "SCALE_PARAM(13, thickness, 1.447)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(2, thickness, 1.508)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_12", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(15, thickness, 1.285)", "SCALE_PARAM(13, thickness, 1.553)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_13", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.567)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003055)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002300)", "SCALE_PARAM(12, thickness, 1.179)", "SCALE_PARAM(all_members, thickness, 1.235)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "SCALE_PARAM(1, thickness, 1.318)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_14", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.171)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_15", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003216)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001867)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002198)", "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "SCALE_PARAM(1, thickness, 1.340)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_16", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.517)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(15, thickness, 1.256)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_17", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004161)", "SCALE_PARAM(1, thickness, 1.381)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002582)", "SCALE_PARAM(all_members, thickness, 1.290)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_18", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(8, thickness, 1.543)", "SCALE_PARAM(3, thickness, 1.189)", "SCALE_PARAM(0, thickness, 1.441)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_19", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.399)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002957)", "SCALE_PARAM(10, thickness, 1.437)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_20", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003378)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(9, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_21", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.233)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "SCALE_PARAM(0, thickness, 1.190)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_22", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002914)", "SCALE_PARAM(all_members, thickness, 1.276)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_23", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(13, thickness, 1.460)", "SCALE_PARAM(10, thickness, 1.403)", "SCALE_PARAM(8, thickness, 1.368)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003395)", "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(5, thickness, 1.506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_24", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002220)", "SCALE_PARAM(12, thickness, 1.445)", "SCALE_PARAM(0, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(0, thickness, 1.639)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "SCALE_PARAM(15, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_25", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_26", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(7, thickness, 1.433)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003425)", "SCALE_PARAM(all_members, thickness, 1.130)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_27", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001830)", "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(6, thickness, 1.437)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_28", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003359)", "SCALE_PARAM(4, thickness, 1.642)", "SCALE_PARAM(11, thickness, 1.374)", "SCALE_PARAM(0, thickness, 1.506)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003690)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_29", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.285)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004092)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(15, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_30", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.003646)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(all_members, thickness, 1.147)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_31", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "SCALE_PARAM(3, thickness, 1.590)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_32", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.468)", "SCALE_PARAM(14, thickness, 1.623)", "SCALE_PARAM(4, thickness, 1.613)", "SCALE_PARAM(all_members, thickness, 1.276)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_33", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.639)", "SCALE_PARAM(0, thickness, 1.387)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002804)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(14, thickness, 1.658)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_34", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(0, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_35", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002891)", "SCALE_PARAM(3, thickness, 1.312)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003306)", "SCALE_PARAM(all_members, thickness, 1.285)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_36", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.399)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002162)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002829)", "SCALE_PARAM(all_members, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_37", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003271)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(4, thickness, 1.493)", "SCALE_PARAM(2, thickness, 1.506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_38", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.567)", "SCALE_PARAM(2, thickness, 1.319)", "SCALE_PARAM(3, thickness, 1.506)", "SCALE_PARAM(1, thickness, 1.416)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003525)", "SCALE_PARAM(all_members, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_39", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003045)", "SCALE_PARAM(9, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(14, thickness, 1.393)", "SCALE_PARAM(11, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_40", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.157)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002269)", "SCALE_PARAM(8, thickness, 1.252)", "SCALE_PARAM(4, thickness, 1.661)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_41", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.497)", "SCALE_PARAM(12, thickness, 1.414)", "SCALE_PARAM(all_members, thickness, 1.145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_42", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(7, thickness, 1.307)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002745)", "SCALE_PARAM(all_members, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_43", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "SCALE_PARAM(6, thickness, 1.220)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_44", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "SCALE_PARAM(5, thickness, 1.393)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "SCALE_PARAM(0, thickness, 1.186)", "SCALE_PARAM(12, thickness, 1.493)", "SCALE_PARAM(10, thickness, 1.522)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_45", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(13, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(5, thickness, 1.460)", "SCALE_PARAM(7, thickness, 1.199)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_46", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.379)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "SCALE_PARAM(0, thickness, 1.410)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(14, thickness, 1.613)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_47", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002723)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003040)", "SCALE_PARAM(all_members, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_48", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(0, thickness, 1.193)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "SCALE_PARAM(10, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_49", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.506)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(4, thickness, 1.316)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_50", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.600)", "SCALE_PARAM(4, thickness, 1.460)", "SCALE_PARAM(6, thickness, 1.546)", "SCALE_PARAM(9, thickness, 1.490)", "SCALE_PARAM(3, thickness, 1.582)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_51", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.661)", "SCALE_PARAM(9, thickness, 1.425)", "SCALE_PARAM(3, thickness, 1.475)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_52", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(7, thickness, 1.344)", "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_53", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(7, thickness, 1.548)", "SCALE_PARAM(13, thickness, 1.376)", "SCALE_PARAM(10, thickness, 1.304)", "SCALE_PARAM(13, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_54", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003168)", "SCALE_PARAM(0, thickness, 1.451)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002026)", "SCALE_PARAM(all_members, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_55", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.406)", "SCALE_PARAM(7, thickness, 1.399)", "SCALE_PARAM(8, thickness, 1.311)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "SCALE_PARAM(2, thickness, 1.580)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_56", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.340)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(5, thickness, 1.597)", "SCALE_PARAM(12, thickness, 1.203)", "SCALE_PARAM(12, thickness, 1.422)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "SCALE_PARAM(13, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_57", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002058)", "SCALE_PARAM(2, thickness, 1.311)", "SCALE_PARAM(10, thickness, 1.195)", "SCALE_PARAM(7, thickness, 1.381)", "SCALE_PARAM(5, thickness, 1.567)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_58", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.190)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003265)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(7, thickness, 1.359)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "SCALE_PARAM(7, thickness, 1.221)", "SCALE_PARAM(10, thickness, 1.395)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_59", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.242)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002751)", "SCALE_PARAM(14, thickness, 1.406)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_60", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_61", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.406)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(0, thickness, 1.276)", "SCALE_PARAM(11, thickness, 1.531)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_62", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003045)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002376)", "SCALE_PARAM(all_members, thickness, 1.196)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "SCALE_PARAM(0, thickness, 1.362)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_63", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(1, thickness, 1.439)", "SCALE_PARAM(1, thickness, 1.592)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003276)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004135)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(12, thickness, 1.650)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_64", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002194)", "SCALE_PARAM(0, thickness, 1.572)", "SCALE_PARAM(11, thickness, 1.486)", "SCALE_PARAM(14, thickness, 1.418)", "SCALE_PARAM(all_members, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_65", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "SCALE_PARAM(13, thickness, 1.224)", "SCALE_PARAM(14, thickness, 1.562)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_66", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003572)", "SCALE_PARAM(6, thickness, 1.634)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(4, thickness, 1.522)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_67", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(1, thickness, 1.186)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_68", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002370)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002468)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002406)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_69", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_70", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003351)", "SCALE_PARAM(3, thickness, 1.595)", "SCALE_PARAM(8, thickness, 1.531)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002231)", "SCALE_PARAM(all_members, thickness, 1.126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_71", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.453)", "SCALE_PARAM(0, thickness, 1.277)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002913)", "SCALE_PARAM(14, thickness, 1.410)", "SCALE_PARAM(6, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_72", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(1, thickness, 1.592)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_73", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.504)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "SCALE_PARAM(9, thickness, 1.585)", "SCALE_PARAM(1, thickness, 1.337)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_74", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.179)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "SCALE_PARAM(1, thickness, 1.302)", "SCALE_PARAM(1, thickness, 1.580)", "SCALE_PARAM(1, thickness, 1.513)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_75", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.269)", "SCALE_PARAM(7, thickness, 1.339)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.119)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_76", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.149)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003156)", "SCALE_PARAM(all_members, thickness, 1.318)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_77", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_78", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.003371)", "SCALE_PARAM(10, thickness, 1.370)", "SCALE_PARAM(all_members, thickness, 1.163)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_79", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.259)", "SCALE_PARAM(12, thickness, 1.667)", "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_80", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.391)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.126)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_81", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.603)", "SCALE_PARAM(1, thickness, 1.621)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_82", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.508)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002682)", "SCALE_PARAM(8, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.144)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_83", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.642)", "SCALE_PARAM(all_members, thickness, 1.316)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_84", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002581)", "SCALE_PARAM(0, thickness, 1.497)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(11, thickness, 1.475)", "SCALE_PARAM(all_members, thickness, 1.287)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_85", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003374)", "SCALE_PARAM(0, thickness, 1.416)", "SCALE_PARAM(2, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(6, thickness, 1.395)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_86", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_87", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003238)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(7, thickness, 1.264)", "SCALE_PARAM(7, thickness, 1.215)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_88", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(6, thickness, 1.318)", "SCALE_PARAM(1, thickness, 1.319)", "SCALE_PARAM(10, thickness, 1.393)", "SCALE_PARAM(14, thickness, 1.623)", "SCALE_PARAM(all_members, thickness, 1.115)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_89", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(2, thickness, 1.192)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "SCALE_PARAM(10, thickness, 1.353)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_90", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.001803)", "SCALE_PARAM(10, thickness, 1.330)", "SCALE_PARAM(8, thickness, 1.587)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.276)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "SCALE_PARAM(6, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_91", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001535)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(9, thickness, 1.218)", "SCALE_PARAM(4, thickness, 1.362)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002985)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_92", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(3, thickness, 1.477)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(7, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_93", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "SCALE_PARAM(13, thickness, 1.639)", "SCALE_PARAM(13, thickness, 1.464)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_94", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002940)", "SCALE_PARAM(11, thickness, 1.404)", "SCALE_PARAM(1, thickness, 1.637)", "SCALE_PARAM(9, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(11, thickness, 1.406)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_95", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002743)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002069)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(10, thickness, 1.608)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_96", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002038)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004533)", "SCALE_PARAM(all_members, thickness, 1.183)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_97", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(5, thickness, 1.504)", "SCALE_PARAM(5, thickness, 1.222)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003592)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(5, thickness, 1.479)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_98", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002237)", "SCALE_PARAM(13, thickness, 1.553)", "SCALE_PARAM(11, thickness, 1.582)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002329)", "SCALE_PARAM(all_members, thickness, 1.302)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002227)", "SCALE_PARAM(all_members, thickness, 1.276)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_99", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.222)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001275)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "SCALE_PARAM(3, thickness, 1.314)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "SCALE_PARAM(3, thickness, 1.441)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_100", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.385)", "SCALE_PARAM(9, thickness, 1.597)", "SCALE_PARAM(13, thickness, 1.255)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001695)", "SCALE_PARAM(0, thickness, 1.385)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_101", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002607)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002542)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(5, thickness, 1.447)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_102", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001739)", "SCALE_PARAM(6, thickness, 1.422)", "SCALE_PARAM(3, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(15, thickness, 1.389)", "SCALE_PARAM(12, thickness, 1.353)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_103", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.466)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002467)", "SCALE_PARAM(all_members, thickness, 1.152)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(3, thickness, 1.565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_104", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.468)", "SCALE_PARAM(8, thickness, 1.565)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_105", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "SCALE_PARAM(13, thickness, 1.211)", "SCALE_PARAM(2, thickness, 1.562)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_106", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002509)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(5, thickness, 1.399)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001887)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(1, thickness, 1.479)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_107", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.355)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_108", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001003)", "SCALE_PARAM(12, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(10, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "SCALE_PARAM(5, thickness, 1.466)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_109", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002049)", "SCALE_PARAM(all_members, thickness, 1.225)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_110", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002575)", "SCALE_PARAM(8, thickness, 1.642)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(11, thickness, 1.502)", "SCALE_PARAM(all_members, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_111", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.585)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(8, thickness, 1.222)", "SCALE_PARAM(14, thickness, 1.572)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_112", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001745)", "SCALE_PARAM(1, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_113", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(12, thickness, 1.645)", "SCALE_PARAM(2, thickness, 1.460)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_114", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "SCALE_PARAM(3, thickness, 1.181)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_115", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(10, thickness, 1.497)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_116", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_117", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002737)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001887)", "SCALE_PARAM(10, thickness, 1.582)", "SCALE_PARAM(14, thickness, 1.621)", "SCALE_PARAM(3, thickness, 1.312)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004032)", "SCALE_PARAM(all_members, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_118", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(13, thickness, 1.319)", "SCALE_PARAM(8, thickness, 1.311)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "SCALE_PARAM(8, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_119", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(3, thickness, 1.299)", "SCALE_PARAM(1, thickness, 1.323)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_120", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002034)", "SCALE_PARAM(6, thickness, 1.592)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003442)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002301)", "SCALE_PARAM(6, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.235)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_121", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.212)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002916)", "SCALE_PARAM(2, thickness, 1.362)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.111)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_122", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_123", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_124", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.266)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002815)", "SCALE_PARAM(5, thickness, 1.185)", "SCALE_PARAM(0, thickness, 1.453)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "SCALE_PARAM(15, thickness, 1.477)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_125", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.116)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_126", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002637)", "SCALE_PARAM(12, thickness, 1.381)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_127", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002740)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003198)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002797)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(3, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_128", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(12, thickness, 1.642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_129", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.621)", "SCALE_PARAM(0, thickness, 1.661)", "SCALE_PARAM(2, thickness, 1.351)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_130", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.642)", "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(all_members, thickness, 1.333)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "SCALE_PARAM(0, thickness, 1.376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_131", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.558)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.001584)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_132", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.276)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_133", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.111)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002551)", "SCALE_PARAM(all_members, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_134", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(0, thickness, 1.188)", "SCALE_PARAM(13, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_135", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002077)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(11, thickness, 1.511)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_136", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.645)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.001524)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002692)", "SCALE_PARAM(all_members, thickness, 1.236)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_137", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(all_members, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_138", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002023)", "SCALE_PARAM(11, thickness, 1.658)", "SCALE_PARAM(all_members, thickness, 1.242)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_139", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.244)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003195)", "SCALE_PARAM(6, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.300)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "SCALE_PARAM(1, thickness, 1.238)", "SCALE_PARAM(12, thickness, 1.326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_140", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001170)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(1, thickness, 1.220)", "SCALE_PARAM(9, thickness, 1.658)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_141", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001501)", "SCALE_PARAM(all_members, thickness, 1.326)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003195)", "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_142", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.368)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002513)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.166)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_143", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002086)", "SCALE_PARAM(4, thickness, 1.389)", "SCALE_PARAM(all_members, thickness, 1.148)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_144", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.397)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.001929)", "SCALE_PARAM(8, thickness, 1.473)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_145", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "SCALE_PARAM(9, thickness, 1.560)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_146", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.597)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(5, thickness, 1.441)", "SCALE_PARAM(13, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(7, thickness, 1.642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_147", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.001878)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.302)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "SCALE_PARAM(14, thickness, 1.595)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_148", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002792)", "SCALE_PARAM(4, thickness, 1.192)", "SCALE_PARAM(4, thickness, 1.337)", "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_149", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.192)", "SCALE_PARAM(5, thickness, 1.553)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003414)", "SCALE_PARAM(all_members, thickness, 1.134)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_150", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "SCALE_PARAM(3, thickness, 1.215)", "SCALE_PARAM(4, thickness, 1.362)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_151", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(2, thickness, 1.458)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002576)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(8, thickness, 1.376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_152", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002572)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001864)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(10, thickness, 1.220)", "SCALE_PARAM(1, thickness, 1.502)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_153", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "SCALE_PARAM(9, thickness, 1.445)", "SCALE_PARAM(9, thickness, 1.582)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_154", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(7, thickness, 1.543)", "SCALE_PARAM(14, thickness, 1.302)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "SCALE_PARAM(14, thickness, 1.443)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_155", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "SCALE_PARAM(6, thickness, 1.212)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "SCALE_PARAM(5, thickness, 1.661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_156", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(1, thickness, 1.271)", "SCALE_PARAM(3, thickness, 1.504)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_157", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.179)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002281)", "SCALE_PARAM(9, thickness, 1.656)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.114)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_158", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002611)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(15, thickness, 1.203)", "SCALE_PARAM(3, thickness, 1.613)", "SCALE_PARAM(all_members, thickness, 1.172)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_159", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(6, thickness, 1.412)", "SCALE_PARAM(7, thickness, 1.295)", "SCALE_PARAM(3, thickness, 1.209)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "SCALE_PARAM(15, thickness, 1.351)", "SCALE_PARAM(3, thickness, 1.468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_160", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_161", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002125)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003191)", "SCALE_PARAM(all_members, thickness, 1.182)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "SCALE_PARAM(9, thickness, 1.259)", "SCALE_PARAM(14, thickness, 1.414)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_162", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.401)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002585)", "SCALE_PARAM(9, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_163", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.357)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001943)", "SCALE_PARAM(12, thickness, 1.412)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003289)", "SCALE_PARAM(13, thickness, 1.570)", "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_164", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "SCALE_PARAM(6, thickness, 1.203)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_165", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(10, thickness, 1.250)", "SCALE_PARAM(10, thickness, 1.212)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "SCALE_PARAM(8, thickness, 1.381)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_166", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_167", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.003848)", "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002862)", "SCALE_PARAM(all_members, thickness, 1.163)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_168", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.499)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_169", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.312)", "SCALE_PARAM(8, thickness, 1.325)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.001719)", "SCALE_PARAM(13, thickness, 1.517)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_170", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002037)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "SCALE_PARAM(8, thickness, 1.395)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_171", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.203)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003337)", "SCALE_PARAM(all_members, thickness, 1.114)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_172", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(10, thickness, 1.385)", "SCALE_PARAM(all_members, thickness, 1.122)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_173", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002417)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_174", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.330)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003136)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003445)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(7, thickness, 1.453)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_175", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(13, thickness, 1.621)", "SCALE_PARAM(11, thickness, 1.642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_176", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002514)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(9, thickness, 1.199)", "SCALE_PARAM(11, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.307)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_177", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(8, thickness, 1.504)", "SCALE_PARAM(13, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_178", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_179", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.460)", "SCALE_PARAM(5, thickness, 1.650)", "SCALE_PARAM(13, thickness, 1.664)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002271)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(11, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_180", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "SCALE_PARAM(4, thickness, 1.379)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_181", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(9, thickness, 1.299)", "SCALE_PARAM(4, thickness, 1.546)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_182", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.439)", "SCALE_PARAM(14, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "SCALE_PARAM(4, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_183", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001878)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(6, thickness, 1.590)", "SCALE_PARAM(7, thickness, 1.389)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_184", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002887)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_185", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.359)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_186", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002530)", "SCALE_PARAM(7, thickness, 1.277)", "SCALE_PARAM(12, thickness, 1.456)", "SCALE_PARAM(all_members, thickness, 1.167)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_187", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(1, thickness, 1.247)", "SCALE_PARAM(10, thickness, 1.458)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_188", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "SCALE_PARAM(9, thickness, 1.481)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_189", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.325)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_190", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003149)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003214)", "SCALE_PARAM(all_members, thickness, 1.156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_191", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(11, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(4, thickness, 1.305)", "SCALE_PARAM(6, thickness, 1.488)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003212)", "SCALE_PARAM(all_members, thickness, 1.175)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_192", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004035)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "SCALE_PARAM(10, thickness, 1.330)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_193", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002027)", "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002615)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_194", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "SCALE_PARAM(13, thickness, 1.252)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_195", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.205)", "SCALE_PARAM(11, thickness, 1.522)", "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003144)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003515)", "SCALE_PARAM(all_members, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_196", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(8, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_197", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "SCALE_PARAM(4, thickness, 1.215)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "SCALE_PARAM(8, thickness, 1.550)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_198", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003295)", "SCALE_PARAM(4, thickness, 1.460)", "SCALE_PARAM(10, thickness, 1.658)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "SCALE_PARAM(15, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_199", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.481)", "SCALE_PARAM(11, thickness, 1.361)", "SCALE_PARAM(13, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_200", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003009)", "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(11, thickness, 1.558)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_201", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001494)", "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001658)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_202", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "SCALE_PARAM(4, thickness, 1.318)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_203", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(7, thickness, 1.289)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_204", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "SCALE_PARAM(8, thickness, 1.374)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_205", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.179)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002027)", "SCALE_PARAM(3, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_206", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002168)", "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002641)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(9, thickness, 1.377)", "SCALE_PARAM(13, thickness, 1.229)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_207", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "SCALE_PARAM(12, thickness, 1.252)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "SCALE_PARAM(3, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_208", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "SCALE_PARAM(2, thickness, 1.389)", "SCALE_PARAM(2, thickness, 1.520)", "SCALE_PARAM(2, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_209", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.224)", "SCALE_PARAM(8, thickness, 1.289)", "SCALE_PARAM(11, thickness, 1.453)", "SCALE_PARAM(6, thickness, 1.290)", "SCALE_PARAM(7, thickness, 1.224)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_210", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003046)", "SCALE_PARAM(all_members, thickness, 1.221)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_211", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(6, thickness, 1.462)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001592)", "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(2, thickness, 1.466)", "SCALE_PARAM(all_members, thickness, 1.155)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_212", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.279)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002224)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.117)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_213", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002628)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "SCALE_PARAM(5, thickness, 1.266)", "SCALE_PARAM(12, thickness, 1.637)", "SCALE_PARAM(13, thickness, 1.618)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_214", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "SCALE_PARAM(4, thickness, 1.572)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_215", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002458)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003677)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002880)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(15, thickness, 1.355)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_216", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.261)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002820)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002503)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(4, thickness, 1.312)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(all_members, thickness, 1.148)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_217", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.543)", "SCALE_PARAM(2, thickness, 1.279)", "SCALE_PARAM(9, thickness, 1.629)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_218", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.195)", "SCALE_PARAM(14, thickness, 1.205)", "SCALE_PARAM(10, thickness, 1.348)", "SCALE_PARAM(all_members, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_219", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.650)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001724)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.294)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "SCALE_PARAM(6, thickness, 1.348)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_220", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(all_members, thickness, 1.326)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_221", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(12, thickness, 1.546)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_222", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.443)", "SCALE_PARAM(all_members, thickness, 1.178)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "SCALE_PARAM(14, thickness, 1.292)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_223", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001797)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003165)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(2, thickness, 1.362)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_224", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.558)", "SCALE_PARAM(7, thickness, 1.647)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_225", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(4, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(0, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_226", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002693)", "SCALE_PARAM(11, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003432)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002028)", "SCALE_PARAM(all_members, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_227", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.422)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002493)", "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_228", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002034)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002187)", "SCALE_PARAM(all_members, thickness, 1.186)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(4, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_229", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.337)", "SCALE_PARAM(all_members, thickness, 1.266)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_230", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.350)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(11, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_231", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.445)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(3, thickness, 1.441)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_232", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002815)", "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_233", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002876)", "SCALE_PARAM(10, thickness, 1.321)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002246)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004799)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002978)", "SCALE_PARAM(12, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.119)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_234", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.453)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003546)", "SCALE_PARAM(6, thickness, 1.464)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(11, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_235", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(15, thickness, 1.456)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(15, thickness, 1.587)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_236", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(10, thickness, 1.558)", "SCALE_PARAM(all_members, thickness, 1.183)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003275)", "SCALE_PARAM(all_members, thickness, 1.112)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_237", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002190)", "SCALE_PARAM(11, thickness, 1.653)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_238", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(9, thickness, 1.230)", "SCALE_PARAM(9, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_239", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002831)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(9, thickness, 1.353)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(1, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_240", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004637)", "SCALE_PARAM(all_members, thickness, 1.157)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_241", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.002136)", "SCALE_PARAM(all_members, thickness, 1.326)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002998)", "SCALE_PARAM(10, thickness, 1.529)", "SCALE_PARAM(all_members, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_242", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.355)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(3, thickness, 1.399)", "SCALE_PARAM(all_members, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_243", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.277)", "SCALE_PARAM(2, thickness, 1.449)", "SCALE_PARAM(all_members, thickness, 1.256)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_244", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_245", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(14, thickness, 1.647)", "SCALE_PARAM(all_members, thickness, 1.125)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "SCALE_PARAM(2, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_246", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.332)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002032)", "SCALE_PARAM(all_members, thickness, 1.127)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002315)", "SCALE_PARAM(4, thickness, 1.183)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003153)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_247", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.481)", "SCALE_PARAM(3, thickness, 1.517)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "SCALE_PARAM(0, thickness, 1.504)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_248", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.572)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002839)", "SCALE_PARAM(4, thickness, 1.340)", "SCALE_PARAM(all_members, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_249", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.439)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(11, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_250", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003291)", "SCALE_PARAM(all_members, thickness, 1.130)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_251", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002801)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002390)", "SCALE_PARAM(14, thickness, 1.626)", "SCALE_PARAM(all_members, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_252", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001687)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(4, thickness, 1.541)", "SCALE_PARAM(6, thickness, 1.244)", "SCALE_PARAM(14, thickness, 1.504)", "SCALE_PARAM(all_members, thickness, 1.224)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_253", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003269)", "SCALE_PARAM(11, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.183)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_254", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(10, thickness, 1.215)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003735)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002168)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003272)", "SCALE_PARAM(all_members, thickness, 1.112)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_255", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002272)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "SCALE_PARAM(13, thickness, 1.381)", "SCALE_PARAM(2, thickness, 1.280)", "SCALE_PARAM(11, thickness, 1.637)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_256", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001986)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(9, thickness, 1.253)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_257", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_258", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.304)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_259", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001146)", "SCALE_PARAM(4, thickness, 1.560)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(3, thickness, 1.621)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_260", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.252)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "SCALE_PARAM(11, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_261", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001522)", "SCALE_PARAM(12, thickness, 1.264)", "SCALE_PARAM(3, thickness, 1.585)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "SCALE_PARAM(11, thickness, 1.502)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_262", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.416)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003147)", "SCALE_PARAM(11, thickness, 1.337)", "SCALE_PARAM(all_members, thickness, 1.230)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_263", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(4, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(9, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_264", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.577)", "SCALE_PARAM(2, thickness, 1.212)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003053)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003163)", "SCALE_PARAM(13, thickness, 1.247)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002106)", "SCALE_PARAM(all_members, thickness, 1.193)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_265", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.224)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004682)", "SCALE_PARAM(all_members, thickness, 1.147)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_266", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "SCALE_PARAM(11, thickness, 1.342)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_267", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003293)", "SCALE_PARAM(all_members, thickness, 1.290)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_268", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(2, thickness, 1.236)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_269", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.001834)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(8, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_270", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003000)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(13, thickness, 1.621)", "SCALE_PARAM(11, thickness, 1.610)", "SCALE_PARAM(15, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_271", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003221)", "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003563)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003234)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002068)", "SCALE_PARAM(all_members, thickness, 1.167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_272", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(3, thickness, 1.366)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "SCALE_PARAM(8, thickness, 1.203)", "SCALE_PARAM(3, thickness, 1.493)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_273", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.232)", "SCALE_PARAM(11, thickness, 1.263)", "SCALE_PARAM(15, thickness, 1.664)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_274", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002667)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(11, thickness, 1.605)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001860)", "SCALE_PARAM(8, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_275", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.597)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002156)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(11, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.114)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_276", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002464)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003224)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002178)", "SCALE_PARAM(all_members, thickness, 1.153)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_277", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.553)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003265)", "SCALE_PARAM(9, thickness, 1.497)", "SCALE_PARAM(9, thickness, 1.618)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(1, thickness, 1.502)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_278", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(0, thickness, 1.339)", "SCALE_PARAM(5, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(12, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.157)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_279", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.493)", "SCALE_PARAM(8, thickness, 1.227)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003688)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_280", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003177)", "SCALE_PARAM(3, thickness, 1.661)", "SCALE_PARAM(all_members, thickness, 1.147)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_281", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(7, thickness, 1.279)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_282", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(1, thickness, 1.389)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "SCALE_PARAM(13, thickness, 1.464)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_283", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003213)", "SCALE_PARAM(all_members, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_284", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.359)", "SCALE_PARAM(12, thickness, 1.462)", "SCALE_PARAM(6, thickness, 1.325)", "SCALE_PARAM(0, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.167)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002605)", "SCALE_PARAM(all_members, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_285", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.335)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002296)", "SCALE_PARAM(all_members, thickness, 1.294)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002152)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003791)", "SCALE_PARAM(all_members, thickness, 1.121)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_286", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.241)", "SCALE_PARAM(1, thickness, 1.410)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002966)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003392)", "SCALE_PARAM(all_members, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_287", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(5, thickness, 1.639)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(11, thickness, 1.543)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(6, thickness, 1.443)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_288", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.364)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.276)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_289", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.328)", "SCALE_PARAM(6, thickness, 1.245)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002616)", "SCALE_PARAM(10, thickness, 1.427)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003040)", "SCALE_PARAM(all_members, thickness, 1.272)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_290", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.316)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002370)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.001551)", "SCALE_PARAM(15, thickness, 1.486)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(15, thickness, 1.506)", "SCALE_PARAM(10, thickness, 1.372)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_291", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002958)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(7, thickness, 1.401)", "SCALE_PARAM(9, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_292", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002450)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002162)", "SCALE_PARAM(all_members, thickness, 1.161)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_293", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.439)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002539)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(12, thickness, 1.220)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001939)", "SCALE_PARAM(11, thickness, 1.342)", "SCALE_PARAM(3, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_294", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002172)", "SCALE_PARAM(12, thickness, 1.558)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003347)", "SCALE_PARAM(all_members, thickness, 1.156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_295", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.193)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001894)", "SCALE_PARAM(7, thickness, 1.495)", "SCALE_PARAM(all_members, thickness, 1.326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_296", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.570)", "SCALE_PARAM(7, thickness, 1.282)", "SCALE_PARAM(9, thickness, 1.377)", "SCALE_PARAM(11, thickness, 1.626)", "SCALE_PARAM(2, thickness, 1.631)", "SCALE_PARAM(0, thickness, 1.451)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_297", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.235)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "SCALE_PARAM(8, thickness, 1.629)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(4, thickness, 1.427)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_298", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002404)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002811)", "SCALE_PARAM(9, thickness, 1.486)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003532)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_299", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002775)", "SCALE_PARAM(10, thickness, 1.560)", "SCALE_PARAM(4, thickness, 1.575)", "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(10, thickness, 1.196)", "SCALE_PARAM(10, thickness, 1.289)", "SCALE_PARAM(5, thickness, 1.460)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_300", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.167)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_301", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(11, thickness, 1.188)", "SCALE_PARAM(0, thickness, 1.217)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_302", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003632)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(6, thickness, 1.562)", "SCALE_PARAM(12, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_303", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.147)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "SCALE_PARAM(4, thickness, 1.230)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_304", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002596)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002443)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002493)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_305", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.580)", "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_306", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(all_members, thickness, 1.138)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002777)", "SCALE_PARAM(15, thickness, 1.497)", "SCALE_PARAM(2, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_307", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(3, thickness, 1.340)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003537)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002770)", "SCALE_PARAM(all_members, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_308", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.225)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.003910)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002653)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.153)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_309", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.274)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004545)", "SCALE_PARAM(6, thickness, 1.316)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003196)", "SCALE_PARAM(12, thickness, 1.220)", "SCALE_PARAM(11, thickness, 1.368)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_310", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.003213)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(8, thickness, 1.376)", "SCALE_PARAM(all_members, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_311", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.420)", "SCALE_PARAM(all_members, thickness, 1.126)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003468)", "SCALE_PARAM(all_members, thickness, 1.116)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_312", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002765)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(3, thickness, 1.453)", "SCALE_PARAM(9, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_313", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_314", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001517)", "SCALE_PARAM(all_members, thickness, 1.206)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002379)", "SCALE_PARAM(0, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(7, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_315", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003499)", "SCALE_PARAM(10, thickness, 1.188)", "SCALE_PARAM(12, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(1, thickness, 1.351)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_316", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.364)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001420)", "SCALE_PARAM(8, thickness, 1.639)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_317", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(13, thickness, 1.185)", "SCALE_PARAM(8, thickness, 1.658)", "SCALE_PARAM(all_members, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_318", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.134)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002039)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(5, thickness, 1.189)", "SCALE_PARAM(3, thickness, 1.613)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_319", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.439)", "SCALE_PARAM(14, thickness, 1.361)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002039)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(11, thickness, 1.504)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_320", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "SCALE_PARAM(10, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_321", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.279)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "SCALE_PARAM(8, thickness, 1.548)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_322", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(4, thickness, 1.493)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001947)", "SCALE_PARAM(all_members, thickness, 1.290)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_323", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003379)", "SCALE_PARAM(0, thickness, 1.366)", "SCALE_PARAM(all_members, thickness, 1.116)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_324", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.290)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002531)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "SCALE_PARAM(12, thickness, 1.439)", "SCALE_PARAM(5, thickness, 1.236)", "SCALE_PARAM(4, thickness, 1.587)", "SCALE_PARAM(2, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_325", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(3, thickness, 1.613)", "SCALE_PARAM(5, thickness, 1.441)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_326", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_327", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002670)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(14, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_328", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002146)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003305)", "SCALE_PARAM(5, thickness, 1.362)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_329", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002150)", "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002724)", "SCALE_PARAM(9, thickness, 1.511)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(all_members, thickness, 1.171)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_330", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.263)", "SCALE_PARAM(13, thickness, 1.350)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_331", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.567)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(0, thickness, 1.543)", "SCALE_PARAM(14, thickness, 1.355)", "SCALE_PARAM(all_members, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_332", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(3, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(3, thickness, 1.233)", "SCALE_PARAM(10, thickness, 1.193)", "SCALE_PARAM(0, thickness, 1.383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_333", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001956)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "SCALE_PARAM(14, thickness, 1.418)", "SCALE_PARAM(6, thickness, 1.410)", "SCALE_PARAM(11, thickness, 1.346)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_334", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(7, thickness, 1.253)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "SCALE_PARAM(9, thickness, 1.372)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_335", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "SCALE_PARAM(9, thickness, 1.626)", "SCALE_PARAM(9, thickness, 1.567)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_336", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002955)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(8, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_337", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(13, thickness, 1.368)", "SCALE_PARAM(0, thickness, 1.565)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_338", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.279)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002823)", "SCALE_PARAM(all_members, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_339", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.174)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002740)", "SCALE_PARAM(all_members, thickness, 1.222)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003679)", "SCALE_PARAM(all_members, thickness, 1.156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_340", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.233)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002218)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002509)", "SCALE_PARAM(10, thickness, 1.490)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003754)", "SCALE_PARAM(all_members, thickness, 1.133)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_341", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.412)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(7, thickness, 1.499)", "SCALE_PARAM(0, thickness, 1.379)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(2, thickness, 1.431)", "SCALE_PARAM(all_members, thickness, 1.193)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_342", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.451)", "SCALE_PARAM(15, thickness, 1.355)", "SCALE_PARAM(all_members, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_343", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(4, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(8, thickness, 1.290)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_344", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.157)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002540)", "SCALE_PARAM(11, thickness, 1.456)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(1, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_345", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "SCALE_PARAM(7, thickness, 1.449)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_346", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.172)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002857)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(14, thickness, 1.377)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002538)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_347", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003502)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(10, thickness, 1.453)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_348", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.175)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "SCALE_PARAM(12, thickness, 1.377)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "SCALE_PARAM(3, thickness, 1.403)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_349", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.486)", "SCALE_PARAM(14, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(3, thickness, 1.279)", "SCALE_PARAM(7, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_350", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.285)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001827)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_351", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(9, thickness, 1.393)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_352", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.269)", "SCALE_PARAM(8, thickness, 1.416)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(3, thickness, 1.548)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_353", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.443)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_354", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.481)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(5, thickness, 1.613)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_355", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.198)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_356", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003541)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(3, thickness, 1.486)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_357", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.572)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002847)", "SCALE_PARAM(5, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_358", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003297)", "SCALE_PARAM(all_members, thickness, 1.127)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_359", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.166)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "SCALE_PARAM(0, thickness, 1.420)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "SCALE_PARAM(10, thickness, 1.520)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_360", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003558)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(12, thickness, 1.506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_361", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(8, thickness, 1.290)", "SCALE_PARAM(5, thickness, 1.195)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_362", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.333)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002498)", "SCALE_PARAM(1, thickness, 1.658)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_363", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.196)", "SCALE_PARAM(1, thickness, 1.238)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "SCALE_PARAM(8, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_364", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(8, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_365", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.477)", "SCALE_PARAM(all_members, thickness, 1.221)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_366", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002464)", "SCALE_PARAM(11, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(3, thickness, 1.650)", "SCALE_PARAM(all_members, thickness, 1.127)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_367", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002717)", "SCALE_PARAM(10, thickness, 1.193)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003078)", "SCALE_PARAM(8, thickness, 1.429)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(9, thickness, 1.218)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_368", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(2, thickness, 1.486)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.325)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9518518518518518 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_369", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "SCALE_PARAM(13, thickness, 1.355)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_370", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.295)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "SCALE_PARAM(3, thickness, 1.318)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "SCALE_PARAM(5, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_371", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(1, thickness, 1.639)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_372", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.205)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "SCALE_PARAM(0, thickness, 1.387)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_373", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003361)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004780)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002149)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002531)", "SCALE_PARAM(2, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.122)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_374", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002938)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001832)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(5, thickness, 1.621)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(11, thickness, 1.215)", "SCALE_PARAM(11, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_375", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.330)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002786)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002019)", "SCALE_PARAM(8, thickness, 1.435)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(10, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_376", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003353)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.001512)", "SCALE_PARAM(14, thickness, 1.597)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(14, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_377", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.143)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002985)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_378", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.342)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_379", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002968)", "SCALE_PARAM(all_members, thickness, 1.252)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003504)", "SCALE_PARAM(13, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_380", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.479)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.318)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_381", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(4, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(1, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_382", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.299)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002614)", "SCALE_PARAM(all_members, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_383", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.543)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(2, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_384", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.001739)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001388)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(13, thickness, 1.351)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(2, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_385", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_386", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.647)", "SCALE_PARAM(all_members, thickness, 1.156)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003257)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(1, thickness, 1.353)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_387", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002112)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(9, thickness, 1.326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_388", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.258)", "SCALE_PARAM(6, thickness, 1.215)", "SCALE_PARAM(10, thickness, 1.387)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "SCALE_PARAM(2, thickness, 1.292)", "SCALE_PARAM(3, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_389", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.218)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_390", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(1, thickness, 1.385)", "SCALE_PARAM(12, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_391", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_392", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002212)", "SCALE_PARAM(5, thickness, 1.529)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(5, thickness, 1.198)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_393", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003710)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.001740)", "SCALE_PARAM(3, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(7, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_394", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.135)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004652)", "SCALE_PARAM(all_members, thickness, 1.153)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_395", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "SCALE_PARAM(2, thickness, 1.248)", "SCALE_PARAM(7, thickness, 1.653)", "SCALE_PARAM(10, thickness, 1.616)", "SCALE_PARAM(7, thickness, 1.613)", "SCALE_PARAM(2, thickness, 1.431)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_396", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(5, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.133)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_397", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.458)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002954)", "SCALE_PARAM(3, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(1, thickness, 1.218)", "SCALE_PARAM(14, thickness, 1.416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_398", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(8, thickness, 1.590)", "SCALE_PARAM(15, thickness, 1.613)", "SCALE_PARAM(12, thickness, 1.385)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_399", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.473)", "SCALE_PARAM(15, thickness, 1.414)", "SCALE_PARAM(6, thickness, 1.658)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_400", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.222)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001988)", "SCALE_PARAM(all_members, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_401", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(9, thickness, 1.188)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_402", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002334)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.274)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "SCALE_PARAM(14, thickness, 1.295)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_403", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "SCALE_PARAM(12, thickness, 1.212)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002412)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "SCALE_PARAM(14, thickness, 1.605)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_404", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.359)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002488)", "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(6, thickness, 1.555)", "SCALE_PARAM(all_members, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_405", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(5, thickness, 1.271)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002259)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(0, thickness, 1.508)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(14, thickness, 1.198)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_406", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "SCALE_PARAM(3, thickness, 1.279)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_407", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(5, thickness, 1.560)", "SCALE_PARAM(all_members, thickness, 1.153)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_408", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(6, thickness, 1.252)", "SCALE_PARAM(5, thickness, 1.667)", "SCALE_PARAM(14, thickness, 1.330)", "SCALE_PARAM(2, thickness, 1.565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_409", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(0, thickness, 1.276)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003114)", "SCALE_PARAM(all_members, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_410", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.276)", "SCALE_PARAM(12, thickness, 1.368)", "SCALE_PARAM(3, thickness, 1.362)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002190)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_411", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.314)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002968)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(0, thickness, 1.550)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_412", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.335)", "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001994)", "SCALE_PARAM(all_members, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_413", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002065)", "SCALE_PARAM(1, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.168)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_414", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002139)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003213)", "SCALE_PARAM(9, thickness, 1.212)", "SCALE_PARAM(4, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_415", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(6, thickness, 1.359)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002053)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.248)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002266)", "SCALE_PARAM(all_members, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_416", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003651)", "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_417", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002619)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(10, thickness, 1.217)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_418", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(3, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002134)", "SCALE_PARAM(all_members, thickness, 1.131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_419", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(14, thickness, 1.572)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_420", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.235)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.001916)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_421", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_422", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.368)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(13, thickness, 1.198)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002853)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(all_members, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_423", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.362)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002731)", "SCALE_PARAM(all_members, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_424", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(3, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "SCALE_PARAM(6, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_425", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_426", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(all_members, thickness, 1.316)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_427", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002331)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(3, thickness, 1.418)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_428", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002344)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(11, thickness, 1.497)", "SCALE_PARAM(8, thickness, 1.362)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_429", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(6, thickness, 1.179)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003697)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003782)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004774)", "SCALE_PARAM(all_members, thickness, 1.124)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_430", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.126)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_431", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "SCALE_PARAM(3, thickness, 1.355)", "SCALE_PARAM(3, thickness, 1.410)", "SCALE_PARAM(6, thickness, 1.348)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_432", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.001965)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(2, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.311)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_433", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.401)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003138)", "SCALE_PARAM(6, thickness, 1.504)", "SCALE_PARAM(all_members, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_434", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002964)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002169)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002861)", "SCALE_PARAM(14, thickness, 1.202)", "SCALE_PARAM(11, thickness, 1.346)", "SCALE_PARAM(all_members, thickness, 1.272)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_435", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(1, thickness, 1.412)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(8, thickness, 1.577)", "SCALE_PARAM(6, thickness, 1.212)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "SCALE_PARAM(2, thickness, 1.621)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_436", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(1, thickness, 1.538)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(12, thickness, 1.282)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003447)", "SCALE_PARAM(all_members, thickness, 1.206)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_437", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(6, thickness, 1.412)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.241)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_438", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.289)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_439", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.198)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.001716)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(all_members, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_440", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.287)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_441", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003143)", "SCALE_PARAM(11, thickness, 1.422)", "SCALE_PARAM(12, thickness, 1.340)", "SCALE_PARAM(all_members, thickness, 1.232)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_442", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.555)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003622)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(11, thickness, 1.661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_443", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.580)", "SCALE_PARAM(8, thickness, 1.414)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002635)", "SCALE_PARAM(13, thickness, 1.412)", "SCALE_PARAM(14, thickness, 1.304)", "SCALE_PARAM(8, thickness, 1.548)", "SCALE_PARAM(4, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_444", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_445", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002458)", "SCALE_PARAM(all_members, thickness, 1.167)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002926)", "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "SCALE_PARAM(9, thickness, 1.493)", "SCALE_PARAM(5, thickness, 1.468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_446", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.425)", "SCALE_PARAM(11, thickness, 1.618)", "SCALE_PARAM(all_members, thickness, 1.193)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_447", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002945)", "SCALE_PARAM(2, thickness, 1.397)", "SCALE_PARAM(all_members, thickness, 1.183)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002105)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(8, thickness, 1.610)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_448", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002387)", "SCALE_PARAM(2, thickness, 1.458)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.001752)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(9, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_449", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "SCALE_PARAM(8, thickness, 1.437)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_450", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(3, thickness, 1.493)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_451", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.279)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(12, thickness, 1.529)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_452", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002869)", "SCALE_PARAM(2, thickness, 1.241)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002811)", "SCALE_PARAM(3, thickness, 1.616)", "SCALE_PARAM(all_members, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_453", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(1, thickness, 1.188)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "SCALE_PARAM(6, thickness, 1.339)", "SCALE_PARAM(12, thickness, 1.527)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_454", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_455", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.003739)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.002320)", "SCALE_PARAM(9, thickness, 1.437)", "SCALE_PARAM(15, thickness, 1.377)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(1, thickness, 1.387)", "SCALE_PARAM(all_members, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_456", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.001690)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(12, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_457", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "SCALE_PARAM(11, thickness, 1.374)", "SCALE_PARAM(13, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_458", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002380)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.112)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002840)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(6, thickness, 1.497)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_459", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "SCALE_PARAM(1, thickness, 1.368)", "SCALE_PARAM(11, thickness, 1.302)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "SCALE_PARAM(7, thickness, 1.650)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_460", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "SCALE_PARAM(9, thickness, 1.412)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_461", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002906)", "SCALE_PARAM(9, thickness, 1.274)", "SCALE_PARAM(7, thickness, 1.208)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002579)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_462", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.242)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_463", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(1, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003293)", "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_464", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.441)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.130)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_465", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "SCALE_PARAM(4, thickness, 1.391)", "SCALE_PARAM(3, thickness, 1.353)", "SCALE_PARAM(8, thickness, 1.418)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_466", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(0, thickness, 1.214)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003155)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.159)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_467", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002938)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(0, thickness, 1.451)", "SCALE_PARAM(8, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.263)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.005366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_468", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002467)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002758)", "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001886)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003192)", "SCALE_PARAM(all_members, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_469", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "SCALE_PARAM(5, thickness, 1.252)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.003717)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_470", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.116)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "SCALE_PARAM(8, thickness, 1.456)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "SCALE_PARAM(11, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_471", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.252)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_472", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002154)", "SCALE_PARAM(all_members, thickness, 1.330)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002940)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(9, thickness, 1.642)", "SCALE_PARAM(11, thickness, 1.370)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_473", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002303)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(0, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(0, thickness, 1.580)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_474", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.203)", "SCALE_PARAM(10, thickness, 1.406)", "SCALE_PARAM(6, thickness, 1.484)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002619)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.189)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_475", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002841)", "SCALE_PARAM(14, thickness, 1.284)", "SCALE_PARAM(11, thickness, 1.193)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_476", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.003301)", "SCALE_PARAM(13, thickness, 1.259)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003642)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.004251)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_477", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004101)", "SCALE_PARAM(8, thickness, 1.209)", "SCALE_PARAM(7, thickness, 1.502)", "SCALE_PARAM(3, thickness, 1.372)", "SCALE_PARAM(all_members, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_478", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.214)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003225)", "SCALE_PARAM(13, thickness, 1.328)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003341)", "SCALE_PARAM(all_members, thickness, 1.129)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_479", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(15, thickness, 1.621)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(13, thickness, 1.211)", "SCALE_PARAM(0, thickness, 1.597)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_480", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.597)", "SCALE_PARAM(6, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_481", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.002515)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002763)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002452)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(1, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_482", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.553)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003390)", "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014477, 0.002413)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_483", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.002111)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002086)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(12, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.224)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_484", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.353)", "SCALE_PARAM(3, thickness, 1.355)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.001910)", "SCALE_PARAM(7, thickness, 1.220)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.002869)", "SCALE_PARAM(all_members, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_485", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.147)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.004156)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_486", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.121)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002589)", "SCALE_PARAM(0, thickness, 1.618)", "SCALE_PARAM(4, thickness, 1.449)", "SCALE_PARAM(11, thickness, 1.256)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003722)", "SCALE_PARAM(all_members, thickness, 1.142)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_487", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(1, thickness, 1.443)", "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.019978, 0.003330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_488", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(6, thickness, 1.351)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(12, thickness, 1.531)", "SCALE_PARAM(0, thickness, 1.656)", "SCALE_PARAM(all_members, thickness, 1.222)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003773)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_489", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.001633)", "SCALE_PARAM(15, thickness, 1.209)", "SCALE_PARAM(8, thickness, 1.244)", "SCALE_PARAM(3, thickness, 1.629)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(15, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_490", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003416)", "SCALE_PARAM(2, thickness, 1.603)", "SCALE_PARAM(5, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_491", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.024937, 0.002573)", "SCALE_PARAM(10, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(11, thickness, 1.656)", "SCALE_PARAM(all_members, thickness, 1.248)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_492", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.130)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "SCALE_PARAM(15, thickness, 1.209)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_493", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023218, 0.003870)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_494", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.022302, 0.002061)", "SCALE_PARAM(9, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.159)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_495", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(5, thickness, 1.372)", "SCALE_PARAM(15, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_496", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.002939)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015070, 0.002512)", "SCALE_PARAM(13, thickness, 1.447)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_497", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.022635, 0.003123)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.025506, 0.003520)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.021850, 0.003015)", "SCALE_PARAM(all_members, thickness, 1.208)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_498", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.300)", "SCALE_PARAM(13, thickness, 1.282)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.017047, 0.002106)", "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.032197, 0.004532)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(2, thickness, 1.399)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_092", "trace_id": "auto_problem_092_trace_499", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 92)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.43, 0.00) [free]\n J2: pos=(4.85, 0.00) [free]\n J3: pos=(7.28, 0.00) [roller]\n J4: pos=(0.00, 3.59) [free]\n J5: pos=(2.43, 3.59) [free]\n J6: pos=(4.85, 3.59) [free]\n J7: pos=(7.28, 3.59) [free]\n\nMembers (13 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0209, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0210, t=0.0031)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0162, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0145, t=0.0021)]\n M4: J6-J7 [A36_Steel, Pipe(r=0.0151, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0226, t=0.0033)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0170, t=0.0025)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0203, t=0.0030)]\n M9: J1-J6 [A36_Steel, Pipe(r=0.0218, t=0.0032)]\n M10: J2-J5 [A36_Steel, Pipe(r=0.0255, t=0.0038)]\n M11: J2-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n M12: J3-J6 [A36_Steel, Pipe(r=0.0249, t=0.0037)]\n\nLOADING:\n Joint J5: Force=(0, -43486, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.59 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 164.72396147505117, "fos_buckling": 1.1147088510481746, "fos_yielding": 4.411582501724821, "deflection": 0.0019307033305754557, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.316)", "SCALE_PARAM(9, thickness, 1.562)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(15, thickness, 1.471)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_0", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(5, thickness, 1.256)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(6, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_1", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(5, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(3, thickness, 1.558)", "SCALE_PARAM(9, thickness, 1.538)", "SCALE_PARAM(10, thickness, 1.282)", "SCALE_PARAM(0, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_2", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.661)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006646)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(9, thickness, 1.613)", "SCALE_PARAM(8, thickness, 1.517)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_3", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007146)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007146)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_4", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005470)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(5, thickness, 1.326)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005105)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008798)", "SCALE_PARAM(all_members, thickness, 1.230)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_5", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.297)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007660)", "SCALE_PARAM(1, thickness, 1.393)", "SCALE_PARAM(8, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.133)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_6", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.266)", "SCALE_PARAM(4, thickness, 1.497)", "SCALE_PARAM(0, thickness, 1.218)", "SCALE_PARAM(3, thickness, 1.477)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004948)", "SCALE_PARAM(all_members, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_7", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(6, thickness, 1.466)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_8", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.004916)", "SCALE_PARAM(3, thickness, 1.590)", "SCALE_PARAM(8, thickness, 1.462)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008589)", "SCALE_PARAM(all_members, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_9", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006476)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(9, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_10", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005646)", "SCALE_PARAM(3, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.112)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_11", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.383)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(6, thickness, 1.605)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_12", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(9, thickness, 1.558)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_13", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_14", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_15", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006808)", "SCALE_PARAM(4, thickness, 1.560)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_16", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.429)", "SCALE_PARAM(5, thickness, 1.217)", "SCALE_PARAM(2, thickness, 1.621)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_17", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(9, thickness, 1.645)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.119)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_18", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006207)", "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007673)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(4, thickness, 1.290)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_19", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.393)", "SCALE_PARAM(9, thickness, 1.582)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(6, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_20", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(3, thickness, 1.567)", "SCALE_PARAM(all_members, thickness, 1.276)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_21", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.307)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_22", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(2, thickness, 1.300)", "SCALE_PARAM(5, thickness, 1.230)", "SCALE_PARAM(1, thickness, 1.277)", "SCALE_PARAM(5, thickness, 1.330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_23", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.524)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005225)", "SCALE_PARAM(2, thickness, 1.661)", "SCALE_PARAM(1, thickness, 1.534)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_24", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.253)", "SCALE_PARAM(8, thickness, 1.353)", "SCALE_PARAM(0, thickness, 1.495)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_25", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(5, thickness, 1.200)", "SCALE_PARAM(5, thickness, 1.458)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_26", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.311)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(4, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_27", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(6, thickness, 1.205)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_28", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007189)", "SCALE_PARAM(1, thickness, 1.425)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006576)", "SCALE_PARAM(all_members, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_29", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(9, thickness, 1.209)", "SCALE_PARAM(1, thickness, 1.188)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(7, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_30", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008448)", "SCALE_PARAM(all_members, thickness, 1.122)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_31", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.153)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007519)", "SCALE_PARAM(all_members, thickness, 1.155)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_32", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.305)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(9, thickness, 1.548)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_33", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009728)", "SCALE_PARAM(10, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(9, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_34", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.362)", "SCALE_PARAM(1, thickness, 1.613)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_35", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007514)", "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_36", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(4, thickness, 1.639)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.157)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_37", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(6, thickness, 1.550)", "SCALE_PARAM(7, thickness, 1.300)", "SCALE_PARAM(2, thickness, 1.453)", "SCALE_PARAM(8, thickness, 1.414)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_38", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(6, thickness, 1.475)", "SCALE_PARAM(5, thickness, 1.232)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_39", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007332)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(4, thickness, 1.323)", "SCALE_PARAM(7, thickness, 1.393)", "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_40", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(10, thickness, 1.300)", "SCALE_PARAM(1, thickness, 1.344)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_41", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(0, thickness, 1.520)", "SCALE_PARAM(all_members, thickness, 1.114)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009016)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007906)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009016)", "SCALE_PARAM(all_members, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_42", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007330)", "SCALE_PARAM(8, thickness, 1.475)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_43", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.567)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_44", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.656)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005480)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(2, thickness, 1.475)", "SCALE_PARAM(7, thickness, 1.403)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_45", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004909)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(8, thickness, 1.337)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_46", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004459)", "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009231)", "SCALE_PARAM(1, thickness, 1.527)", "SCALE_PARAM(3, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.172)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_47", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005569)", "SCALE_PARAM(4, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(9, thickness, 1.560)", "SCALE_PARAM(10, thickness, 1.230)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_48", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(8, thickness, 1.346)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_49", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.447)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006204)", "SCALE_PARAM(2, thickness, 1.399)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_50", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(9, thickness, 1.214)", "SCALE_PARAM(6, thickness, 1.410)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_51", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007573)", "SCALE_PARAM(7, thickness, 1.429)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_52", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_53", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(1, thickness, 1.626)", "SCALE_PARAM(all_members, thickness, 1.318)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_54", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.003036)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(3, thickness, 1.233)", "SCALE_PARAM(3, thickness, 1.637)", "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_55", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009719)", "SCALE_PARAM(9, thickness, 1.520)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(8, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_56", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(3, thickness, 1.391)", "SCALE_PARAM(6, thickness, 1.305)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008379)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005544)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(6, thickness, 1.224)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_57", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006698)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006698)", "SCALE_PARAM(8, thickness, 1.346)", "SCALE_PARAM(7, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_58", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.473)", "SCALE_PARAM(6, thickness, 1.623)", "SCALE_PARAM(7, thickness, 1.362)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(2, thickness, 1.292)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(10, thickness, 1.236)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_59", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(1, thickness, 1.340)", "SCALE_PARAM(3, thickness, 1.420)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_60", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.001720)", "SCALE_PARAM(6, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(5, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(5, thickness, 1.550)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_61", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005093)", "SCALE_PARAM(all_members, thickness, 1.233)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_62", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.339)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.256)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006949)", "SCALE_PARAM(9, thickness, 1.364)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_63", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.560)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007384)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(6, thickness, 1.385)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_64", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_65", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.359)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_66", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(5, thickness, 1.529)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_67", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(0, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(3, thickness, 1.577)", "SCALE_PARAM(9, thickness, 1.348)", "SCALE_PARAM(5, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_68", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.004915)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005605)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(0, thickness, 1.572)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_69", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.126)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006286)", "SCALE_PARAM(9, thickness, 1.508)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_70", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.114)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005649)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_71", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(3, thickness, 1.441)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_72", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003668)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(5, thickness, 1.517)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_73", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(0, thickness, 1.548)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(7, thickness, 1.475)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_74", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007869)", "SCALE_PARAM(all_members, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_75", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.222)", "SCALE_PARAM(7, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_76", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_77", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.190)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.005577)", "SCALE_PARAM(2, thickness, 1.506)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(8, thickness, 1.235)", "SCALE_PARAM(0, thickness, 1.357)", "SCALE_PARAM(all_members, thickness, 1.112)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_78", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(0, thickness, 1.582)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006836)", "SCALE_PARAM(9, thickness, 1.387)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_79", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(5, thickness, 1.190)", "SCALE_PARAM(4, thickness, 1.397)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(9, thickness, 1.664)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_80", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(0, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_81", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_82", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.206)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007873)", "SCALE_PARAM(1, thickness, 1.460)", "SCALE_PARAM(9, thickness, 1.292)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005209)", "SCALE_PARAM(all_members, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_83", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007923)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009035)", "SCALE_PARAM(all_members, thickness, 1.198)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_84", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(8, thickness, 1.193)", "SCALE_PARAM(1, thickness, 1.524)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_85", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.359)", "SCALE_PARAM(9, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(2, thickness, 1.256)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_86", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(7, thickness, 1.529)", "SCALE_PARAM(2, thickness, 1.376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_87", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.506)", "SCALE_PARAM(4, thickness, 1.238)", "SCALE_PARAM(4, thickness, 1.513)", "SCALE_PARAM(7, thickness, 1.661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_88", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006522)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004717)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(3, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.135)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(9, thickness, 1.335)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_89", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007573)", "SCALE_PARAM(8, thickness, 1.267)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009593)", "SCALE_PARAM(all_members, thickness, 1.127)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_90", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.004583)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005713)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_91", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.351)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(10, thickness, 1.618)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(5, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_92", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.639)", "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_93", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.447)", "SCALE_PARAM(3, thickness, 1.553)", "SCALE_PARAM(5, thickness, 1.229)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007207)", "SCALE_PARAM(0, thickness, 1.312)", "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(10, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_94", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005298)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(3, thickness, 1.362)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(3, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_95", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009625)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008698)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "SCALE_PARAM(10, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_96", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006512)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007118)", "SCALE_PARAM(all_members, thickness, 1.333)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_97", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008350)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(3, thickness, 1.558)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_98", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005421)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(2, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_99", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(1, thickness, 1.504)", "SCALE_PARAM(all_members, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_100", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007594)", "SCALE_PARAM(10, thickness, 1.391)", "SCALE_PARAM(4, thickness, 1.631)", "SCALE_PARAM(all_members, thickness, 1.143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_101", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.414)", "SCALE_PARAM(all_members, thickness, 1.294)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(1, thickness, 1.383)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_102", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006435)", "SCALE_PARAM(10, thickness, 1.342)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(0, thickness, 1.431)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(10, thickness, 1.456)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_103", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006027)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_104", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(6, thickness, 1.233)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_105", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(8, thickness, 1.205)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007547)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "SCALE_PARAM(10, thickness, 1.433)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_106", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.397)", "SCALE_PARAM(7, thickness, 1.370)", "SCALE_PARAM(5, thickness, 1.515)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_107", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(3, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_108", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.239)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_109", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008223)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005441)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(2, thickness, 1.456)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_110", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005986)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(5, thickness, 1.497)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_111", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.637)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(7, thickness, 1.585)", "SCALE_PARAM(8, thickness, 1.181)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006035)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_112", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.437)", "SCALE_PARAM(7, thickness, 1.543)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007960)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(3, thickness, 1.189)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_113", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006951)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(4, thickness, 1.647)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(8, thickness, 1.570)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_114", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007864)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007194)", "SCALE_PARAM(9, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(5, thickness, 1.220)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_115", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.664)", "SCALE_PARAM(5, thickness, 1.580)", "SCALE_PARAM(all_members, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_116", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.582)", "SCALE_PARAM(7, thickness, 1.592)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_117", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_118", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.305)", "SCALE_PARAM(2, thickness, 1.319)", "SCALE_PARAM(2, thickness, 1.582)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(5, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_119", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.575)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_120", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.186)", "SCALE_PARAM(1, thickness, 1.401)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(10, thickness, 1.385)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_121", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.005752)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.003361)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(9, thickness, 1.623)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(9, thickness, 1.202)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_122", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(5, thickness, 1.193)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "SCALE_PARAM(4, thickness, 1.527)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_123", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007260)", "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "SCALE_PARAM(6, thickness, 1.408)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_124", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006768)", "SCALE_PARAM(all_members, thickness, 1.235)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007645)", "SCALE_PARAM(all_members, thickness, 1.135)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_125", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.003976)", "SCALE_PARAM(1, thickness, 1.587)", "SCALE_PARAM(9, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(4, thickness, 1.350)", "SCALE_PARAM(all_members, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_126", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006753)", "SCALE_PARAM(8, thickness, 1.404)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_127", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(4, thickness, 1.508)", "SCALE_PARAM(7, thickness, 1.626)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_128", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_129", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007778)", "SCALE_PARAM(4, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.170)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_130", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(10, thickness, 1.353)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_131", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.572)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005579)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006955)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.168)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_132", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(7, thickness, 1.225)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009132)", "SCALE_PARAM(all_members, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_133", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007653)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009540)", "SCALE_PARAM(all_members, thickness, 1.134)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_134", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(0, thickness, 1.495)", "SCALE_PARAM(all_members, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_135", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.271)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(8, thickness, 1.538)", "SCALE_PARAM(6, thickness, 1.437)", "SCALE_PARAM(9, thickness, 1.600)", "SCALE_PARAM(7, thickness, 1.499)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_136", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(9, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(7, thickness, 1.200)", "SCALE_PARAM(7, thickness, 1.626)", "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_137", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(4, thickness, 1.473)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_138", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005526)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(7, thickness, 1.397)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005578)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(3, thickness, 1.555)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_139", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009682)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008490)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005618)", "SCALE_PARAM(8, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(2, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_140", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(2, thickness, 1.475)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_141", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.261)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_142", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.650)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004490)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006785)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.175)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_143", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007196)", "SCALE_PARAM(0, thickness, 1.464)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(1, thickness, 1.560)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_144", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(7, thickness, 1.182)", "SCALE_PARAM(7, thickness, 1.520)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_145", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.130)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_146", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006903)", "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_147", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008237)", "SCALE_PARAM(all_members, thickness, 1.152)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(1, thickness, 1.192)", "SCALE_PARAM(4, thickness, 1.208)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_148", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.005994)", "SCALE_PARAM(6, thickness, 1.376)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005457)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007544)", "SCALE_PARAM(all_members, thickness, 1.151)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_149", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(8, thickness, 1.269)", "SCALE_PARAM(4, thickness, 1.355)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_150", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.460)", "SCALE_PARAM(7, thickness, 1.401)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_151", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009226)", "SCALE_PARAM(3, thickness, 1.244)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009226)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(3, thickness, 1.312)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_152", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.333)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007980)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.116)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_153", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(5, thickness, 1.335)", "SCALE_PARAM(7, thickness, 1.258)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007511)", "SCALE_PARAM(all_members, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_154", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.181)", "SCALE_PARAM(4, thickness, 1.524)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(2, thickness, 1.292)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_155", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(10, thickness, 1.639)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(3, thickness, 1.314)", "SCALE_PARAM(9, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_156", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_157", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006900)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(5, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.111)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_158", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.656)", "SCALE_PARAM(6, thickness, 1.309)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004181)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(6, thickness, 1.427)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_159", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.221)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008143)", "SCALE_PARAM(10, thickness, 1.328)", "SCALE_PARAM(3, thickness, 1.667)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_160", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_161", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.346)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(2, thickness, 1.464)", "SCALE_PARAM(all_members, thickness, 1.149)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_162", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.199)", "SCALE_PARAM(4, thickness, 1.582)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "SCALE_PARAM(2, thickness, 1.247)", "SCALE_PARAM(9, thickness, 1.618)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_163", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(10, thickness, 1.269)", "SCALE_PARAM(0, thickness, 1.502)", "SCALE_PARAM(4, thickness, 1.381)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_164", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.511)", "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007714)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(0, thickness, 1.230)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008378)", "SCALE_PARAM(all_members, thickness, 1.133)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_165", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.214)", "SCALE_PARAM(8, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.149)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_166", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.004921)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_167", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(2, thickness, 1.626)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005068)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007007)", "SCALE_PARAM(6, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.239)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_168", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.399)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(0, thickness, 1.285)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_169", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(5, thickness, 1.572)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_170", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006849)", "SCALE_PARAM(2, thickness, 1.261)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004532)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_171", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.138)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_172", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(0, thickness, 1.582)", "SCALE_PARAM(10, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_173", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007479)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007479)", "SCALE_PARAM(1, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(0, thickness, 1.225)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_174", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005905)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(5, thickness, 1.437)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_175", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_176", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_177", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(all_members, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_178", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_179", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_180", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006916)", "SCALE_PARAM(all_members, thickness, 1.116)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007058)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007058)", "SCALE_PARAM(all_members, thickness, 1.230)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_181", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.502)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_182", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.004668)", "SCALE_PARAM(3, thickness, 1.339)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(2, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_183", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.603)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(1, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_184", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.637)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(1, thickness, 1.475)", "SCALE_PARAM(0, thickness, 1.653)", "SCALE_PARAM(0, thickness, 1.209)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_185", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.362)", "SCALE_PARAM(all_members, thickness, 1.111)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(6, thickness, 1.445)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_186", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.004435)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(10, thickness, 1.637)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_187", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007552)", "SCALE_PARAM(all_members, thickness, 1.256)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_188", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(7, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(7, thickness, 1.477)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_189", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009576)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008397)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(5, thickness, 1.618)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_190", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.464)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(4, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_191", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.499)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(5, thickness, 1.623)", "SCALE_PARAM(8, thickness, 1.379)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_192", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(0, thickness, 1.414)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(3, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_193", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.267)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(10, thickness, 1.504)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_194", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.004734)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_195", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005776)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(5, thickness, 1.198)", "SCALE_PARAM(6, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_196", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_197", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(10, thickness, 1.515)", "SCALE_PARAM(all_members, thickness, 1.321)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_198", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008407)", "SCALE_PARAM(6, thickness, 1.263)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007690)", "SCALE_PARAM(7, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.129)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_199", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.176)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003224)", "SCALE_PARAM(5, thickness, 1.548)", "SCALE_PARAM(all_members, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_200", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008359)", "SCALE_PARAM(0, thickness, 1.647)", "SCALE_PARAM(6, thickness, 1.626)", "SCALE_PARAM(7, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_201", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005179)", "SCALE_PARAM(5, thickness, 1.212)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(2, thickness, 1.376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_202", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.203)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008795)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(1, thickness, 1.274)", "SCALE_PARAM(1, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_203", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(1, thickness, 1.475)", "SCALE_PARAM(9, thickness, 1.391)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(1, thickness, 1.244)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(5, thickness, 1.524)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_204", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006871)", "SCALE_PARAM(5, thickness, 1.435)", "SCALE_PARAM(4, thickness, 1.404)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(9, thickness, 1.285)", "SCALE_PARAM(6, thickness, 1.577)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_205", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.241)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006511)", "SCALE_PARAM(7, thickness, 1.250)", "SCALE_PARAM(6, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.166)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_206", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(3, thickness, 1.626)", "SCALE_PARAM(all_members, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_207", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003653)", "SCALE_PARAM(8, thickness, 1.645)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007444)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006528)", "SCALE_PARAM(5, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_208", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006090)", "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008824)", "SCALE_PARAM(all_members, thickness, 1.225)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(0, thickness, 1.289)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_209", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.002348)", "SCALE_PARAM(5, thickness, 1.443)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_210", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005258)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(5, thickness, 1.193)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_211", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.117)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(1, thickness, 1.433)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_212", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.490)", "SCALE_PARAM(1, thickness, 1.577)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(2, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_213", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007680)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008757)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007025)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(5, thickness, 1.422)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_214", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.391)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.005064)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.305)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009310)", "SCALE_PARAM(all_members, thickness, 1.161)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_215", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(6, thickness, 1.456)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(2, thickness, 1.295)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007289)", "SCALE_PARAM(all_members, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_216", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008272)", "SCALE_PARAM(5, thickness, 1.441)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006635)", "SCALE_PARAM(1, thickness, 1.244)", "SCALE_PARAM(8, thickness, 1.531)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(9, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_217", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.258)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(9, thickness, 1.217)", "SCALE_PARAM(4, thickness, 1.221)", "SCALE_PARAM(8, thickness, 1.425)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_218", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.004289)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005347)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_219", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_220", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.005538)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.316)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(2, thickness, 1.389)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_221", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006527)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007135)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004721)", "SCALE_PARAM(all_members, thickness, 1.330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_222", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007591)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004405)", "SCALE_PARAM(all_members, thickness, 1.269)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008444)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_223", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003305)", "SCALE_PARAM(5, thickness, 1.610)", "SCALE_PARAM(10, thickness, 1.182)", "SCALE_PARAM(10, thickness, 1.497)", "SCALE_PARAM(all_members, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_224", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.335)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(3, thickness, 1.517)", "SCALE_PARAM(all_members, thickness, 1.182)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008314)", "SCALE_PARAM(all_members, thickness, 1.142)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_225", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.247)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_226", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.420)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_227", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007463)", "SCALE_PARAM(8, thickness, 1.425)", "SCALE_PARAM(2, thickness, 1.420)", "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(4, thickness, 1.300)", "SCALE_PARAM(8, thickness, 1.570)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_228", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.200)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007142)", "SCALE_PARAM(3, thickness, 1.215)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_229", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005470)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(4, thickness, 1.490)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_230", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(10, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.139)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_231", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005287)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(9, thickness, 1.541)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_232", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.353)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(6, thickness, 1.364)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_233", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006590)", "SCALE_PARAM(1, thickness, 1.429)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007204)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008215)", "SCALE_PARAM(all_members, thickness, 1.318)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_234", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.376)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(0, thickness, 1.314)", "SCALE_PARAM(7, thickness, 1.403)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007618)", "SCALE_PARAM(all_members, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_235", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_236", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.203)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006701)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005376)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003888)", "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.285)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_237", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(0, thickness, 1.511)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_238", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.575)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(5, thickness, 1.351)", "SCALE_PARAM(9, thickness, 1.550)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_239", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.422)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006857)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(6, thickness, 1.546)", "SCALE_PARAM(10, thickness, 1.287)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_240", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(4, thickness, 1.350)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_241", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009430)", "SCALE_PARAM(7, thickness, 1.267)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007565)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007565)", "SCALE_PARAM(all_members, thickness, 1.147)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_242", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008365)", "SCALE_PARAM(6, thickness, 1.294)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_243", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.148)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008457)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008457)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(5, thickness, 1.661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_244", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.121)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_245", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.616)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(8, thickness, 1.294)", "SCALE_PARAM(0, thickness, 1.522)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_246", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.294)", "SCALE_PARAM(2, thickness, 1.468)", "SCALE_PARAM(10, thickness, 1.486)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_247", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.115)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(0, thickness, 1.192)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_248", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(3, thickness, 1.292)", "SCALE_PARAM(1, thickness, 1.570)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(8, thickness, 1.248)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_249", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(6, thickness, 1.344)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_250", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(4, thickness, 1.342)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(0, thickness, 1.185)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_251", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.005852)", "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_252", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.534)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007409)", "SCALE_PARAM(7, thickness, 1.259)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004902)", "SCALE_PARAM(all_members, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_253", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.138)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_254", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003089)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008826)", "SCALE_PARAM(all_members, thickness, 1.225)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(5, thickness, 1.658)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_255", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.005532)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(8, thickness, 1.427)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.114)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_256", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008423)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006757)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008423)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_257", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.192)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006713)", "SCALE_PARAM(4, thickness, 1.300)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008368)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(5, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_258", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.279)", "SCALE_PARAM(0, thickness, 1.562)", "SCALE_PARAM(6, thickness, 1.656)", "SCALE_PARAM(3, thickness, 1.453)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008781)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007700)", "SCALE_PARAM(all_members, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_259", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006563)", "SCALE_PARAM(4, thickness, 1.312)", "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_260", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.479)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(3, thickness, 1.511)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006810)", "SCALE_PARAM(all_members, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_261", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007388)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008425)", "SCALE_PARAM(10, thickness, 1.543)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(10, thickness, 1.439)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_262", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.005241)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.247)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_263", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007112)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007774)", "SCALE_PARAM(5, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.220)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_264", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(5, thickness, 1.449)", "SCALE_PARAM(3, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_265", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.263)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "SCALE_PARAM(6, thickness, 1.531)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_266", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.300)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009704)", "SCALE_PARAM(all_members, thickness, 1.115)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_267", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.277)", "SCALE_PARAM(3, thickness, 1.493)", "SCALE_PARAM(8, thickness, 1.359)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(4, thickness, 1.220)", "SCALE_PARAM(9, thickness, 1.502)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_268", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(0, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_269", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006905)", "SCALE_PARAM(1, thickness, 1.381)", "SCALE_PARAM(3, thickness, 1.280)", "SCALE_PARAM(10, thickness, 1.567)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_270", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.199)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_271", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(8, thickness, 1.466)", "SCALE_PARAM(3, thickness, 1.453)", "SCALE_PARAM(6, thickness, 1.550)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_272", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006528)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(2, thickness, 1.479)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_273", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(2, thickness, 1.443)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_274", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(5, thickness, 1.570)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.160)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_275", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008241)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007539)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(5, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_276", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008990)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007211)", "SCALE_PARAM(5, thickness, 1.285)", "SCALE_PARAM(4, thickness, 1.203)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008990)", "SCALE_PARAM(1, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_277", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006609)", "SCALE_PARAM(all_members, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_278", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.282)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(10, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_279", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.342)", "SCALE_PARAM(5, thickness, 1.645)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(9, thickness, 1.565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_280", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(6, thickness, 1.572)", "SCALE_PARAM(3, thickness, 1.466)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004776)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(1, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_281", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007604)", "SCALE_PARAM(all_members, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_282", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007174)", "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(7, thickness, 1.575)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006697)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(2, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.134)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_283", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006187)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "SCALE_PARAM(10, thickness, 1.506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_284", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.410)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "SCALE_PARAM(4, thickness, 1.529)", "SCALE_PARAM(6, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_285", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_286", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006587)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.241)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005366)", "SCALE_PARAM(3, thickness, 1.618)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_287", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(6, thickness, 1.195)", "SCALE_PARAM(10, thickness, 1.508)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_288", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.408)", "SCALE_PARAM(6, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(3, thickness, 1.239)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_289", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(2, thickness, 1.389)", "SCALE_PARAM(5, thickness, 1.520)", "SCALE_PARAM(5, thickness, 1.381)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007271)", "SCALE_PARAM(all_members, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_290", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(5, thickness, 1.178)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_291", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.258)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_292", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007805)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007140)", "SCALE_PARAM(all_members, thickness, 1.215)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_293", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(5, thickness, 1.435)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008142)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(0, thickness, 1.453)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(4, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_294", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(0, thickness, 1.524)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(3, thickness, 1.333)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_295", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_296", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006020)", "SCALE_PARAM(8, thickness, 1.575)", "SCALE_PARAM(6, thickness, 1.506)", "SCALE_PARAM(10, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_297", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.136)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_298", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.174)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006461)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(4, thickness, 1.410)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_299", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.004058)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(1, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_300", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006927)", "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_301", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.217)", "SCALE_PARAM(1, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(all_members, thickness, 1.235)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_302", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(1, thickness, 1.527)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_303", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.253)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(2, thickness, 1.357)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_304", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.332)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(8, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_305", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.005474)", "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008232)", "SCALE_PARAM(all_members, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_306", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(2, thickness, 1.499)", "SCALE_PARAM(6, thickness, 1.592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_307", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.389)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008198)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(9, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_308", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.445)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(7, thickness, 1.205)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007543)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008245)", "SCALE_PARAM(all_members, thickness, 1.151)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_309", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(0, thickness, 1.379)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006992)", "SCALE_PARAM(1, thickness, 1.603)", "SCALE_PARAM(10, thickness, 1.661)", "SCALE_PARAM(all_members, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_310", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.520)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.247)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006458)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.139)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_311", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.664)", "SCALE_PARAM(9, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(7, thickness, 1.431)", "SCALE_PARAM(1, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.147)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_312", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004360)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(0, thickness, 1.376)", "SCALE_PARAM(all_members, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_313", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.004208)", "SCALE_PARAM(8, thickness, 1.634)", "SCALE_PARAM(2, thickness, 1.524)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007010)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_314", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.531)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "SCALE_PARAM(2, thickness, 1.462)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_315", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007211)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008989)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007211)", "SCALE_PARAM(all_members, thickness, 1.203)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_316", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007381)", "SCALE_PARAM(6, thickness, 1.370)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007381)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(5, thickness, 1.427)", "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_317", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_318", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.370)", "SCALE_PARAM(6, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.247)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_319", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(4, thickness, 1.548)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_320", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003230)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.004882)", "SCALE_PARAM(3, thickness, 1.553)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(1, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_321", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(7, thickness, 1.572)", "SCALE_PARAM(all_members, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_322", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.391)", "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008157)", "SCALE_PARAM(all_members, thickness, 1.326)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_323", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006347)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(1, thickness, 1.610)", "SCALE_PARAM(all_members, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_324", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009462)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008298)", "SCALE_PARAM(all_members, thickness, 1.143)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_325", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(7, thickness, 1.490)", "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_326", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.391)", "SCALE_PARAM(5, thickness, 1.546)", "SCALE_PARAM(7, thickness, 1.305)", "SCALE_PARAM(0, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(9, thickness, 1.342)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_327", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.174)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.005983)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.148)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_328", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(6, thickness, 1.462)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.276)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_329", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.497)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(9, thickness, 1.517)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006893)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(3, thickness, 1.486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_330", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.114)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_331", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(9, thickness, 1.610)", "SCALE_PARAM(2, thickness, 1.429)", "SCALE_PARAM(2, thickness, 1.412)", "SCALE_PARAM(0, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_332", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005099)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(2, thickness, 1.401)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_333", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003690)", "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(10, thickness, 1.357)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(9, thickness, 1.567)", "SCALE_PARAM(all_members, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_334", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_335", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.214)", "SCALE_PARAM(4, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(3, thickness, 1.429)", "SCALE_PARAM(1, thickness, 1.600)", "SCALE_PARAM(10, thickness, 1.613)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_336", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.401)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006523)", "SCALE_PARAM(4, thickness, 1.350)", "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008657)", "SCALE_PARAM(6, thickness, 1.513)", "SCALE_PARAM(3, thickness, 1.572)", "SCALE_PARAM(all_members, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9518518518518518 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_337", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.522)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_338", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004269)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(5, thickness, 1.339)", "SCALE_PARAM(all_members, thickness, 1.172)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_339", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005781)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007207)", "SCALE_PARAM(all_members, thickness, 1.122)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006488)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_340", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004868)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(6, thickness, 1.416)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_341", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.517)", "SCALE_PARAM(2, thickness, 1.391)", "SCALE_PARAM(1, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.140)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_342", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007514)", "SCALE_PARAM(5, thickness, 1.305)", "SCALE_PARAM(3, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_343", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.261)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006990)", "SCALE_PARAM(10, thickness, 1.647)", "SCALE_PARAM(all_members, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_344", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006386)", "SCALE_PARAM(4, thickness, 1.456)", "SCALE_PARAM(5, thickness, 1.284)", "SCALE_PARAM(6, thickness, 1.664)", "SCALE_PARAM(all_members, thickness, 1.140)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009074)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_345", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.229)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_346", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.458)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(2, thickness, 1.299)", "SCALE_PARAM(1, thickness, 1.344)", "SCALE_PARAM(1, thickness, 1.248)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_347", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.340)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008067)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_348", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(9, thickness, 1.225)", "SCALE_PARAM(4, thickness, 1.236)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_349", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007394)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005348)", "SCALE_PARAM(all_members, thickness, 1.174)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_350", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(1, thickness, 1.401)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_351", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.232)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_352", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.437)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(5, thickness, 1.295)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "SCALE_PARAM(4, thickness, 1.332)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_353", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_354", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(2, thickness, 1.235)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_355", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007622)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006973)", "SCALE_PARAM(5, thickness, 1.294)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005044)", "SCALE_PARAM(all_members, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_356", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_357", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.393)", "SCALE_PARAM(10, thickness, 1.357)", "SCALE_PARAM(7, thickness, 1.276)", "SCALE_PARAM(1, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(1, thickness, 1.422)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_358", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006041)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(0, thickness, 1.613)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.008236)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_359", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006775)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006775)", "SCALE_PARAM(9, thickness, 1.199)", "SCALE_PARAM(7, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(5, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_360", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008357)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(0, thickness, 1.255)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(2, thickness, 1.211)", "SCALE_PARAM(7, thickness, 1.499)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_361", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.300)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004734)", "SCALE_PARAM(1, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(2, thickness, 1.381)", "SCALE_PARAM(3, thickness, 1.629)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_362", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009629)", "SCALE_PARAM(0, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_363", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009664)", "SCALE_PARAM(5, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_364", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.664)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(7, thickness, 1.479)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_365", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.567)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005026)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(10, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_366", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(9, thickness, 1.337)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(1, thickness, 1.333)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_367", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.339)", "SCALE_PARAM(6, thickness, 1.543)", "SCALE_PARAM(9, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_368", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.506)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(1, thickness, 1.230)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.004885)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(3, thickness, 1.366)", "SCALE_PARAM(10, thickness, 1.522)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_369", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.114)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008313)", "SCALE_PARAM(7, thickness, 1.506)", "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_370", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(4, thickness, 1.383)", "SCALE_PARAM(4, thickness, 1.276)", "SCALE_PARAM(10, thickness, 1.342)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_371", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.004083)", "SCALE_PARAM(all_members, thickness, 1.235)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007214)", "SCALE_PARAM(8, thickness, 1.565)", "SCALE_PARAM(all_members, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_372", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(3, thickness, 1.361)", "SCALE_PARAM(5, thickness, 1.287)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_373", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.192)", "SCALE_PARAM(4, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_374", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.464)", "SCALE_PARAM(all_members, thickness, 1.112)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007922)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.205)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_375", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.117)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008320)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007611)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(5, thickness, 1.565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_376", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.253)", "SCALE_PARAM(4, thickness, 1.385)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(3, thickness, 1.346)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_377", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007232)", "SCALE_PARAM(2, thickness, 1.284)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007232)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.326)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_378", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_379", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(9, thickness, 1.368)", "SCALE_PARAM(9, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_380", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003303)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007562)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_381", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(4, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(7, thickness, 1.517)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_382", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007623)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009503)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009503)", "SCALE_PARAM(all_members, thickness, 1.139)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_383", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(2, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_384", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006767)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(1, thickness, 1.222)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "SCALE_PARAM(0, thickness, 1.340)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_385", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.005098)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004497)", "SCALE_PARAM(7, thickness, 1.208)", "SCALE_PARAM(3, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(all_members, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_386", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.661)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006441)", "SCALE_PARAM(3, thickness, 1.626)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(9, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(10, thickness, 1.431)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_387", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.344)", "SCALE_PARAM(2, thickness, 1.368)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(4, thickness, 1.543)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_388", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007356)", "SCALE_PARAM(6, thickness, 1.536)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007356)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_389", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.287)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004226)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(1, thickness, 1.272)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_390", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.004422)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(7, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_391", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_392", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.252)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007878)", "SCALE_PARAM(all_members, thickness, 1.203)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_393", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007542)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009401)", "SCALE_PARAM(all_members, thickness, 1.151)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_394", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.247)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.008242)", "SCALE_PARAM(8, thickness, 1.397)", "SCALE_PARAM(10, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.151)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_395", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(4, thickness, 1.575)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(0, thickness, 1.359)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_396", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.587)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_397", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.005539)", "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006497)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(1, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_398", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.445)", "SCALE_PARAM(10, thickness, 1.466)", "SCALE_PARAM(5, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_399", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_400", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007566)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(8, thickness, 1.215)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_401", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(4, thickness, 1.385)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_402", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_403", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(6, thickness, 1.389)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(10, thickness, 1.486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_404", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_405", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_406", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.202)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(0, thickness, 1.323)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006794)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(8, thickness, 1.397)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_407", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.221)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_408", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(5, thickness, 1.389)", "SCALE_PARAM(all_members, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_409", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(1, thickness, 1.486)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(7, thickness, 1.613)", "SCALE_PARAM(1, thickness, 1.235)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_410", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008146)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(6, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.117)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_411", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006964)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(7, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_412", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.259)", "SCALE_PARAM(9, thickness, 1.418)", "SCALE_PARAM(7, thickness, 1.287)", "SCALE_PARAM(6, thickness, 1.567)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009629)", "SCALE_PARAM(all_members, thickness, 1.124)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_413", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005367)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(6, thickness, 1.248)", "SCALE_PARAM(2, thickness, 1.346)", "SCALE_PARAM(0, thickness, 1.490)", "SCALE_PARAM(2, thickness, 1.256)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_414", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(4, thickness, 1.567)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_415", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.406)", "SCALE_PARAM(7, thickness, 1.473)", "SCALE_PARAM(5, thickness, 1.217)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_416", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(6, thickness, 1.610)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007622)", "SCALE_PARAM(all_members, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_417", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.608)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.002839)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.003539)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.183)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9518518518518518 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_418", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007712)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006187)", "SCALE_PARAM(all_members, thickness, 1.152)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007129)", "SCALE_PARAM(all_members, thickness, 1.217)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_419", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_420", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.603)", "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(4, thickness, 1.647)", "SCALE_PARAM(9, thickness, 1.333)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_421", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.189)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007636)", "SCALE_PARAM(all_members, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_422", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007484)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(6, thickness, 1.353)", "SCALE_PARAM(7, thickness, 1.520)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(8, thickness, 1.263)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_423", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006661)", "SCALE_PARAM(all_members, thickness, 1.302)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_424", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(10, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_425", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(all_members, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_426", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(3, thickness, 1.342)", "SCALE_PARAM(all_members, thickness, 1.143)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(3, thickness, 1.451)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_427", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.186)", "SCALE_PARAM(7, thickness, 1.629)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(all_members, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_428", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006143)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_429", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(10, thickness, 1.217)", "SCALE_PARAM(2, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_430", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.276)", "SCALE_PARAM(7, thickness, 1.300)", "SCALE_PARAM(5, thickness, 1.389)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006541)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_431", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009088)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(9, thickness, 1.383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_432", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.408)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(4, thickness, 1.488)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(7, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_433", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(6, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(7, thickness, 1.449)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007905)", "SCALE_PARAM(9, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_434", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007065)", "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006849)", "SCALE_PARAM(9, thickness, 1.385)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_435", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006987)", "SCALE_PARAM(5, thickness, 1.236)", "SCALE_PARAM(2, thickness, 1.255)", "SCALE_PARAM(0, thickness, 1.439)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.276)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_436", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.335)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "SCALE_PARAM(8, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_437", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.196)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.002825)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_438", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(4, thickness, 1.458)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_439", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.527)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(1, thickness, 1.357)", "SCALE_PARAM(all_members, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_440", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006044)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_441", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(6, thickness, 1.493)", "SCALE_PARAM(6, thickness, 1.618)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_442", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.005738)", "SCALE_PARAM(all_members, thickness, 1.247)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006895)", "SCALE_PARAM(7, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(9, thickness, 1.401)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_443", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.353)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006870)", "SCALE_PARAM(4, thickness, 1.610)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.163)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_444", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005901)", "SCALE_PARAM(8, thickness, 1.307)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.006451)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(6, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_445", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(10, thickness, 1.575)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_446", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.135)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(4, thickness, 1.366)", "SCALE_PARAM(2, thickness, 1.255)", "SCALE_PARAM(6, thickness, 1.203)", "SCALE_PARAM(8, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_447", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007454)", "SCALE_PARAM(0, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_448", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.637)", "SCALE_PARAM(all_members, thickness, 1.152)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(2, thickness, 1.435)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_449", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(2, thickness, 1.309)", "SCALE_PARAM(2, thickness, 1.271)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008147)", "SCALE_PARAM(all_members, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_450", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_451", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.004375)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.004783)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.221)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008548)", "SCALE_PARAM(all_members, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_452", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.447)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006512)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(5, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_453", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(5, thickness, 1.416)", "SCALE_PARAM(all_members, thickness, 1.143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_454", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.269)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006594)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007208)", "SCALE_PARAM(5, thickness, 1.449)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(10, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_455", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(0, thickness, 1.603)", "SCALE_PARAM(5, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.115)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_456", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007895)", "SCALE_PARAM(10, thickness, 1.370)", "SCALE_PARAM(8, thickness, 1.364)", "SCALE_PARAM(4, thickness, 1.366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_457", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007722)", "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_458", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(8, thickness, 1.222)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(5, thickness, 1.637)", "SCALE_PARAM(9, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_459", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006376)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.004219)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_460", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(0, thickness, 1.202)", "SCALE_PARAM(7, thickness, 1.408)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_461", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(0, thickness, 1.211)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.007047)", "SCALE_PARAM(all_members, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_462", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(1, thickness, 1.357)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_463", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.233)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(3, thickness, 1.403)", "SCALE_PARAM(3, thickness, 1.200)", "SCALE_PARAM(1, thickness, 1.290)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_464", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007175)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(7, thickness, 1.555)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_465", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005274)", "SCALE_PARAM(all_members, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_466", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_467", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.193)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_468", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(4, thickness, 1.650)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_469", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(4, thickness, 1.206)", "SCALE_PARAM(7, thickness, 1.295)", "SCALE_PARAM(0, thickness, 1.176)", "SCALE_PARAM(5, thickness, 1.395)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_470", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.147)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.006388)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(all_members, thickness, 1.274)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(3, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_471", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.484)", "SCALE_PARAM(1, thickness, 1.550)", "SCALE_PARAM(9, thickness, 1.289)", "SCALE_PARAM(3, thickness, 1.235)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_472", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007214)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007886)", "SCALE_PARAM(all_members, thickness, 1.203)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(7, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_473", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(0, thickness, 1.464)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_474", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008145)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.006534)", "SCALE_PARAM(4, thickness, 1.437)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_475", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.006346)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(all_members, thickness, 1.136)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006561)", "SCALE_PARAM(6, thickness, 1.538)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_476", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(10, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_477", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(0, thickness, 1.587)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009133)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(10, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_478", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_479", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(2, thickness, 1.570)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.008568)", "SCALE_PARAM(all_members, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_480", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.241)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007107)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005701)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_481", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(5, thickness, 1.513)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_482", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.235)", "ADD_MEMBER(1, 3, 6061_T6_Aluminum, Pipe, 0.056916, 0.007954)", "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_483", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_484", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(3, thickness, 1.629)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.010817)", "SCALE_PARAM(6, thickness, 1.316)", "SCALE_PARAM(5, thickness, 1.353)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_485", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.460)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.003044)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_486", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.418)", "SCALE_PARAM(1, thickness, 1.495)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_487", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.006277)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "SCALE_PARAM(1, thickness, 1.321)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_488", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(7, thickness, 1.199)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_489", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.389)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007231)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.005801)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007231)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.127)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_490", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006493)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005546)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007841)", "SCALE_PARAM(2, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(6, thickness, 1.220)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.008678)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9518518518518518 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_491", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.290)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.052066, 0.007431)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.037661, 0.005375)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009263)", "SCALE_PARAM(all_members, thickness, 1.168)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_492", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.600)", "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005149)", "SCALE_PARAM(1, thickness, 1.541)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(10, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_493", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(7, thickness, 1.495)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.007380)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(9, thickness, 1.408)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(6, thickness, 1.515)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_494", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.007154)", "ADD_MEMBER(3, 4, 6061_T6_Aluminum, Pipe, 0.052066, 0.006544)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(all_members, thickness, 1.144)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_495", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.618)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.056916, 0.009486)", "SCALE_PARAM(5, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9962962962962963 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_496", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.009520)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005820)", "SCALE_PARAM(8, thickness, 1.359)", "SCALE_PARAM(7, thickness, 1.637)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(3, thickness, 1.391)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9814814814814815 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_497", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(9, thickness, 1.280)", "SCALE_PARAM(8, thickness, 1.395)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_498", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.323)", "SCALE_PARAM(10, thickness, 1.490)", "SCALE_PARAM(all_members, thickness, 1.114)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_093", "trace_id": "auto_problem_093_trace_499", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 93)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(6.77, 0.00) [free]\n J2: pos=(13.55, 0.00) [roller]\n J3: pos=(0.00, 3.53) [free]\n J4: pos=(6.77, 3.53) [free]\n J5: pos=(13.55, 3.53) [free]\n\nMembers (10 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0594, t=0.0083)]\n M2: J3-J4 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0521, t=0.0073)]\n M4: J0-J3 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0036)]\n M5: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0377, t=0.0053)]\n M6: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0325, t=0.0045)]\n M7: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0091)]\n M8: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0569, t=0.0079)]\n M9: J2-J4 [6061_T6_Aluminum, Pipe(r=0.0649, t=0.0077)]\n\nLOADING:\n Joint J4: Force=(0, -75507, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 600.91 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.585)", "ADD_MEMBER(0, 4, 6061_T6_Aluminum, Pipe, 0.064904, 0.005375)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(0, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_0", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.239)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003551)", "SCALE_PARAM(all_members, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_1", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002733)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003530)", "SCALE_PARAM(15, thickness, 1.342)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(10, thickness, 1.590)", "SCALE_PARAM(9, thickness, 1.618)", "SCALE_PARAM(all_members, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_2", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(all_members, thickness, 1.155)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_3", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(9, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_4", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.179)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "SCALE_PARAM(4, thickness, 1.399)", "SCALE_PARAM(1, thickness, 1.292)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_5", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(14, thickness, 1.565)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003183)", "SCALE_PARAM(0, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_6", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "SCALE_PARAM(13, thickness, 1.497)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_7", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.239)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002151)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_8", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.333)", "SCALE_PARAM(5, thickness, 1.433)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_9", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.479)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(0, thickness, 1.473)", "SCALE_PARAM(4, thickness, 1.383)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003187)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(6, thickness, 1.497)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_10", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003832)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(13, thickness, 1.299)", "SCALE_PARAM(4, thickness, 1.404)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003787)", "SCALE_PARAM(all_members, thickness, 1.167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_11", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.536)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004849)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003382)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "SCALE_PARAM(12, thickness, 1.374)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_12", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.274)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "SCALE_PARAM(3, thickness, 1.272)", "SCALE_PARAM(12, thickness, 1.618)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_13", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.299)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003342)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002073)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(1, thickness, 1.504)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_14", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(9, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(11, thickness, 1.224)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(0, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_15", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003736)", "SCALE_PARAM(4, thickness, 1.350)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(10, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_16", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.259)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003272)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(10, thickness, 1.395)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_17", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003041)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(7, thickness, 1.443)", "SCALE_PARAM(8, thickness, 1.658)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_18", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003083)", "SCALE_PARAM(all_members, thickness, 1.244)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003301)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004159)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_19", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_20", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004925)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_21", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.205)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_22", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004313)", "SCALE_PARAM(3, thickness, 1.647)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002015)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003828)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005122)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004093)", "SCALE_PARAM(all_members, thickness, 1.171)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_23", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003965)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(15, thickness, 1.277)", "SCALE_PARAM(13, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.160)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_24", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003318)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002499)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.001796)", "SCALE_PARAM(13, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(13, thickness, 1.558)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_25", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003495)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004964)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002644)", "SCALE_PARAM(5, thickness, 1.190)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002754)", "SCALE_PARAM(all_members, thickness, 1.208)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_26", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.471)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004342)", "SCALE_PARAM(11, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003722)", "SCALE_PARAM(all_members, thickness, 1.134)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_27", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(10, thickness, 1.548)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(12, thickness, 1.473)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_28", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.462)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(0, thickness, 1.209)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_29", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001384)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(4, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.115)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_30", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002688)", "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "SCALE_PARAM(5, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_31", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(14, thickness, 1.277)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004266)", "SCALE_PARAM(all_members, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_32", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002212)", "SCALE_PARAM(1, thickness, 1.650)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002760)", "SCALE_PARAM(13, thickness, 1.274)", "SCALE_PARAM(4, thickness, 1.613)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.233)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_33", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003902)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002347)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(3, thickness, 1.453)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_34", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_35", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003797)", "SCALE_PARAM(13, thickness, 1.608)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(7, thickness, 1.447)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_36", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(11, thickness, 1.555)", "SCALE_PARAM(all_members, thickness, 1.112)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_37", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "SCALE_PARAM(10, thickness, 1.490)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_38", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002594)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(all_members, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_39", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.285)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002811)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_40", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(2, thickness, 1.406)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.325)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "SCALE_PARAM(1, thickness, 1.618)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_41", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001470)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(4, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "SCALE_PARAM(13, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_42", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.389)", "SCALE_PARAM(8, thickness, 1.186)", "SCALE_PARAM(8, thickness, 1.488)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_43", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002408)", "SCALE_PARAM(7, thickness, 1.381)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_44", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.475)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(1, thickness, 1.193)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_45", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(13, thickness, 1.504)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(4, thickness, 1.582)", "SCALE_PARAM(11, thickness, 1.582)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_46", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.279)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003281)", "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(11, thickness, 1.429)", "SCALE_PARAM(2, thickness, 1.420)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_47", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.130)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_48", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_49", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.189)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_50", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003312)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(15, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_51", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.209)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001841)", "SCALE_PARAM(all_members, thickness, 1.302)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003932)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(2, thickness, 1.481)", "SCALE_PARAM(all_members, thickness, 1.134)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_52", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "SCALE_PARAM(12, thickness, 1.272)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_53", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.560)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004011)", "SCALE_PARAM(12, thickness, 1.261)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003354)", "SCALE_PARAM(11, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.259)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_54", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005273)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_55", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003820)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004026)", "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "SCALE_PARAM(10, thickness, 1.524)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_56", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.508)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "SCALE_PARAM(4, thickness, 1.618)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_57", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.002748)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(5, thickness, 1.511)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(4, thickness, 1.221)", "SCALE_PARAM(all_members, thickness, 1.147)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_58", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.391)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002496)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.311)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_59", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.653)", "SCALE_PARAM(13, thickness, 1.374)", "SCALE_PARAM(6, thickness, 1.506)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "SCALE_PARAM(9, thickness, 1.337)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_60", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(4, thickness, 1.284)", "SCALE_PARAM(9, thickness, 1.582)", "SCALE_PARAM(13, thickness, 1.567)", "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_61", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(2, thickness, 1.597)", "SCALE_PARAM(8, thickness, 1.178)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "SCALE_PARAM(9, thickness, 1.230)", "SCALE_PARAM(12, thickness, 1.488)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_62", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003212)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003288)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(4, thickness, 1.639)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_63", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001786)", "SCALE_PARAM(0, thickness, 1.307)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004129)", "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_64", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003737)", "SCALE_PARAM(14, thickness, 1.351)", "SCALE_PARAM(4, thickness, 1.449)", "SCALE_PARAM(6, thickness, 1.484)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_65", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(2, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(1, thickness, 1.460)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_66", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.196)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(6, thickness, 1.269)", "SCALE_PARAM(2, thickness, 1.597)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_67", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.387)", "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "SCALE_PARAM(5, thickness, 1.245)", "SCALE_PARAM(1, thickness, 1.368)", "SCALE_PARAM(1, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_68", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.192)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003618)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(all_members, thickness, 1.333)", "SCALE_PARAM(2, thickness, 1.215)", "SCALE_PARAM(9, thickness, 1.242)", "SCALE_PARAM(2, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_69", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(14, thickness, 1.372)", "SCALE_PARAM(all_members, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_70", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "SCALE_PARAM(14, thickness, 1.379)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(1, thickness, 1.348)", "SCALE_PARAM(14, thickness, 1.391)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_71", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "SCALE_PARAM(7, thickness, 1.368)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "SCALE_PARAM(3, thickness, 1.230)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_72", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.592)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_73", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.490)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001850)", "SCALE_PARAM(0, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.276)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_74", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.264)", "SCALE_PARAM(0, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_75", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004601)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002076)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(12, thickness, 1.656)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_76", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002434)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_77", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002502)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002675)", "SCALE_PARAM(6, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_78", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004775)", "SCALE_PARAM(8, thickness, 1.185)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003330)", "SCALE_PARAM(all_members, thickness, 1.142)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_79", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003097)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(13, thickness, 1.252)", "SCALE_PARAM(14, thickness, 1.447)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_80", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "SCALE_PARAM(8, thickness, 1.235)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_81", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(6, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_82", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003625)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003052)", "SCALE_PARAM(9, thickness, 1.410)", "SCALE_PARAM(1, thickness, 1.397)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_83", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003603)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(1, thickness, 1.572)", "SCALE_PARAM(9, thickness, 1.292)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_84", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.346)", "SCALE_PARAM(10, thickness, 1.188)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004257)", "SCALE_PARAM(all_members, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_85", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003615)", "SCALE_PARAM(5, thickness, 1.522)", "SCALE_PARAM(15, thickness, 1.661)", "SCALE_PARAM(7, thickness, 1.543)", "SCALE_PARAM(6, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_86", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "SCALE_PARAM(13, thickness, 1.328)", "SCALE_PARAM(9, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_87", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.299)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002112)", "SCALE_PARAM(11, thickness, 1.445)", "SCALE_PARAM(all_members, thickness, 1.157)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003868)", "SCALE_PARAM(all_members, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_88", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.631)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(5, thickness, 1.287)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_89", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(11, thickness, 1.199)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_90", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "SCALE_PARAM(2, thickness, 1.639)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "SCALE_PARAM(9, thickness, 1.580)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_91", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003212)", "SCALE_PARAM(6, thickness, 1.321)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004562)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003841)", "SCALE_PARAM(all_members, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_92", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.172)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003007)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(1, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_93", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003511)", "SCALE_PARAM(all_members, thickness, 1.276)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_94", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.661)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002700)", "SCALE_PARAM(14, thickness, 1.653)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.151)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_95", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(4, thickness, 1.368)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003150)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_96", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001232)", "SCALE_PARAM(all_members, thickness, 1.125)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003522)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.149)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_97", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "SCALE_PARAM(6, thickness, 1.309)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "SCALE_PARAM(9, thickness, 1.337)", "SCALE_PARAM(4, thickness, 1.284)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_98", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.178)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002882)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_99", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.618)", "SCALE_PARAM(all_members, thickness, 1.316)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(5, thickness, 1.379)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_100", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.241)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "SCALE_PARAM(0, thickness, 1.361)", "SCALE_PARAM(4, thickness, 1.366)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_101", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "SCALE_PARAM(4, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_102", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004288)", "SCALE_PARAM(8, thickness, 1.330)", "SCALE_PARAM(10, thickness, 1.490)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(15, thickness, 1.650)", "SCALE_PARAM(13, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_103", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.290)", "SCALE_PARAM(1, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_104", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "SCALE_PARAM(5, thickness, 1.431)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_105", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003741)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003942)", "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_106", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003482)", "SCALE_PARAM(10, thickness, 1.460)", "SCALE_PARAM(all_members, thickness, 1.222)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003776)", "SCALE_PARAM(all_members, thickness, 1.186)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "SCALE_PARAM(9, thickness, 1.538)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_107", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001436)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.002985)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_108", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.304)", "SCALE_PARAM(4, thickness, 1.522)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_109", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.192)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003943)", "SCALE_PARAM(5, thickness, 1.616)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(10, thickness, 1.575)", "SCALE_PARAM(6, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_110", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "SCALE_PARAM(3, thickness, 1.534)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "SCALE_PARAM(9, thickness, 1.422)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_111", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(7, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.244)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003230)", "SCALE_PARAM(14, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_112", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "SCALE_PARAM(3, thickness, 1.546)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_113", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003688)", "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_114", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.608)", "SCALE_PARAM(all_members, thickness, 1.287)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "SCALE_PARAM(10, thickness, 1.355)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_115", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.299)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004772)", "SCALE_PARAM(all_members, thickness, 1.143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_116", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004189)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(13, thickness, 1.333)", "SCALE_PARAM(3, thickness, 1.471)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_117", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002222)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002799)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "SCALE_PARAM(12, thickness, 1.435)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_118", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.309)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004284)", "SCALE_PARAM(all_members, thickness, 1.119)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_119", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(9, thickness, 1.321)", "SCALE_PARAM(7, thickness, 1.376)", "SCALE_PARAM(7, thickness, 1.639)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_120", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(9, thickness, 1.517)", "SCALE_PARAM(1, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_121", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002113)", "SCALE_PARAM(5, thickness, 1.321)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004392)", "SCALE_PARAM(3, thickness, 1.493)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(6, thickness, 1.376)", "SCALE_PARAM(14, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_122", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004383)", "SCALE_PARAM(8, thickness, 1.616)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003502)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(all_members, thickness, 1.208)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_123", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002870)", "SCALE_PARAM(7, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.171)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_124", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.468)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.206)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "SCALE_PARAM(7, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_125", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.206)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "SCALE_PARAM(5, thickness, 1.404)", "SCALE_PARAM(5, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_126", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.520)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003191)", "SCALE_PARAM(3, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(11, thickness, 1.259)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "SCALE_PARAM(10, thickness, 1.348)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_127", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003001)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(6, thickness, 1.451)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_128", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.393)", "SCALE_PARAM(all_members, thickness, 1.176)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_129", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.555)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.001782)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(5, thickness, 1.259)", "SCALE_PARAM(8, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_130", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(5, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_131", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(0, thickness, 1.185)", "SCALE_PARAM(3, thickness, 1.355)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003574)", "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_132", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001384)", "SCALE_PARAM(11, thickness, 1.355)", "SCALE_PARAM(11, thickness, 1.391)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_133", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.221)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003321)", "SCALE_PARAM(all_members, thickness, 1.330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_134", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.236)", "SCALE_PARAM(11, thickness, 1.471)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002814)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_135", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.408)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(4, thickness, 1.185)", "SCALE_PARAM(13, thickness, 1.603)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_136", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002666)", "SCALE_PARAM(13, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_137", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(13, thickness, 1.541)", "SCALE_PARAM(all_members, thickness, 1.196)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_138", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(1, thickness, 1.603)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(11, thickness, 1.597)", "SCALE_PARAM(9, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_139", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.647)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004205)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002565)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_140", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003619)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005141)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003260)", "SCALE_PARAM(all_members, thickness, 1.167)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_141", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "SCALE_PARAM(6, thickness, 1.391)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(4, thickness, 1.664)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_142", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.362)", "SCALE_PARAM(4, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(1, thickness, 1.397)", "SCALE_PARAM(3, thickness, 1.555)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_143", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(7, thickness, 1.381)", "SCALE_PARAM(6, thickness, 1.255)", "SCALE_PARAM(14, thickness, 1.416)", "SCALE_PARAM(8, thickness, 1.395)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_144", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.524)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(7, thickness, 1.608)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_145", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(2, thickness, 1.374)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004104)", "SCALE_PARAM(all_members, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_146", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(2, thickness, 1.220)", "SCALE_PARAM(13, thickness, 1.205)", "SCALE_PARAM(11, thickness, 1.595)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(14, thickness, 1.379)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_147", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002898)", "SCALE_PARAM(9, thickness, 1.294)", "SCALE_PARAM(11, thickness, 1.621)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003738)", "SCALE_PARAM(all_members, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_148", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(2, thickness, 1.192)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_149", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.379)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003084)", "SCALE_PARAM(0, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.233)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "SCALE_PARAM(3, thickness, 1.420)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_150", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002777)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(1, thickness, 1.414)", "SCALE_PARAM(13, thickness, 1.418)", "SCALE_PARAM(5, thickness, 1.572)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_151", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.001642)", "SCALE_PARAM(3, thickness, 1.600)", "SCALE_PARAM(1, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003856)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003422)", "SCALE_PARAM(all_members, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_152", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.550)", "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_153", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "SCALE_PARAM(8, thickness, 1.397)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "SCALE_PARAM(0, thickness, 1.587)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_154", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003178)", "SCALE_PARAM(8, thickness, 1.466)", "SCALE_PARAM(12, thickness, 1.295)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003224)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_155", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.399)", "SCALE_PARAM(all_members, thickness, 1.208)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003775)", "SCALE_PARAM(all_members, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_156", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(5, thickness, 1.484)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_157", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.311)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003633)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004484)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(0, thickness, 1.209)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_158", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.471)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(4, thickness, 1.326)", "SCALE_PARAM(0, thickness, 1.580)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_159", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(all_members, thickness, 1.247)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003210)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_160", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(7, thickness, 1.522)", "SCALE_PARAM(6, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(5, thickness, 1.575)", "SCALE_PARAM(all_members, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_161", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.001955)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(2, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.140)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002744)", "SCALE_PARAM(all_members, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_162", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003383)", "SCALE_PARAM(12, thickness, 1.245)", "SCALE_PARAM(14, thickness, 1.493)", "SCALE_PARAM(12, thickness, 1.235)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_163", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(5, thickness, 1.179)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(6, thickness, 1.393)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_164", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.479)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003025)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_165", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.374)", "SCALE_PARAM(14, thickness, 1.287)", "SCALE_PARAM(3, thickness, 1.517)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_166", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(7, thickness, 1.661)", "SCALE_PARAM(7, thickness, 1.477)", "SCALE_PARAM(10, thickness, 1.490)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "SCALE_PARAM(3, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_167", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.305)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004741)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(all_members, thickness, 1.124)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_168", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.153)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002909)", "SCALE_PARAM(all_members, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_169", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(12, thickness, 1.497)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_170", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004508)", "SCALE_PARAM(9, thickness, 1.238)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003769)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_171", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.359)", "SCALE_PARAM(1, thickness, 1.393)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003864)", "SCALE_PARAM(9, thickness, 1.339)", "SCALE_PARAM(all_members, thickness, 1.239)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_172", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(12, thickness, 1.350)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_173", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001266)", "SCALE_PARAM(10, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.220)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003137)", "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004661)", "SCALE_PARAM(all_members, thickness, 1.287)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_174", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.399)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004153)", "SCALE_PARAM(10, thickness, 1.541)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003364)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(8, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_175", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "SCALE_PARAM(10, thickness, 1.282)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_176", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003969)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003523)", "SCALE_PARAM(all_members, thickness, 1.272)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_177", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(all_members, thickness, 1.159)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_178", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.642)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "SCALE_PARAM(12, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_179", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004176)", "SCALE_PARAM(all_members, thickness, 1.136)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003546)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(1, thickness, 1.502)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_180", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.212)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003212)", "SCALE_PARAM(14, thickness, 1.515)", "SCALE_PARAM(7, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_181", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.176)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.000907)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "SCALE_PARAM(8, thickness, 1.183)", "SCALE_PARAM(8, thickness, 1.495)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_182", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.508)", "SCALE_PARAM(all_members, thickness, 1.289)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002522)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003201)", "SCALE_PARAM(all_members, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_183", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.274)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "SCALE_PARAM(0, thickness, 1.185)", "SCALE_PARAM(2, thickness, 1.616)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_184", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.456)", "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.302)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_185", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003329)", "SCALE_PARAM(9, thickness, 1.456)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(4, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_186", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "SCALE_PARAM(12, thickness, 1.264)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "SCALE_PARAM(1, thickness, 1.238)", "SCALE_PARAM(10, thickness, 1.261)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_187", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001908)", "SCALE_PARAM(9, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(10, thickness, 1.376)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_188", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(2, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003111)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(all_members, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_189", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003689)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(2, thickness, 1.379)", "SCALE_PARAM(6, thickness, 1.395)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_190", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.439)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(10, thickness, 1.466)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_191", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.439)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004103)", "SCALE_PARAM(all_members, thickness, 1.230)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_192", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(6, thickness, 1.391)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "SCALE_PARAM(8, thickness, 1.399)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_193", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003375)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001886)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003922)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004037)", "SCALE_PARAM(3, thickness, 1.364)", "SCALE_PARAM(all_members, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_194", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002298)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.292)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_195", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.167)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002680)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003559)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(14, thickness, 1.565)", "SCALE_PARAM(9, thickness, 1.318)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_196", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.359)", "SCALE_PARAM(12, thickness, 1.546)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003464)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(1, thickness, 1.190)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_197", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002104)", "SCALE_PARAM(7, thickness, 1.597)", "SCALE_PARAM(all_members, thickness, 1.121)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_198", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004432)", "SCALE_PARAM(all_members, thickness, 1.230)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_199", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.406)", "SCALE_PARAM(13, thickness, 1.312)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002701)", "SCALE_PARAM(1, thickness, 1.437)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003586)", "SCALE_PARAM(all_members, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_200", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003934)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(7, thickness, 1.629)", "SCALE_PARAM(all_members, thickness, 1.155)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_201", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(2, thickness, 1.412)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_202", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003541)", "SCALE_PARAM(all_members, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_203", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(3, thickness, 1.318)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003023)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004416)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(12, thickness, 1.447)", "SCALE_PARAM(11, thickness, 1.418)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_204", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004062)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(10, thickness, 1.548)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_205", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(4, thickness, 1.321)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_206", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003199)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(11, thickness, 1.391)", "SCALE_PARAM(7, thickness, 1.629)", "SCALE_PARAM(all_members, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_207", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003851)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001800)", "SCALE_PARAM(all_members, thickness, 1.149)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004781)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_208", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.504)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004105)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003178)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003693)", "SCALE_PARAM(all_members, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_209", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003676)", "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002972)", "SCALE_PARAM(13, thickness, 1.449)", "SCALE_PARAM(all_members, thickness, 1.119)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_210", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003359)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002049)", "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003338)", "SCALE_PARAM(all_members, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_211", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.233)", "SCALE_PARAM(10, thickness, 1.548)", "SCALE_PARAM(5, thickness, 1.383)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_212", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "SCALE_PARAM(6, thickness, 1.664)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_213", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002822)", "SCALE_PARAM(12, thickness, 1.656)", "SCALE_PARAM(all_members, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_214", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003451)", "SCALE_PARAM(0, thickness, 1.412)", "SCALE_PARAM(8, thickness, 1.372)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_215", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001581)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002548)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(11, thickness, 1.414)", "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_216", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.506)", "SCALE_PARAM(0, thickness, 1.272)", "SCALE_PARAM(0, thickness, 1.198)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003332)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(all_members, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_217", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003704)", "SCALE_PARAM(10, thickness, 1.333)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004429)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002440)", "SCALE_PARAM(2, thickness, 1.656)", "SCALE_PARAM(12, thickness, 1.610)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_218", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.235)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "SCALE_PARAM(12, thickness, 1.488)", "SCALE_PARAM(9, thickness, 1.397)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003135)", "SCALE_PARAM(5, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_219", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003585)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001915)", "SCALE_PARAM(10, thickness, 1.585)", "SCALE_PARAM(12, thickness, 1.372)", "SCALE_PARAM(all_members, thickness, 1.232)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_220", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.179)", "SCALE_PARAM(1, thickness, 1.199)", "SCALE_PARAM(2, thickness, 1.264)", "SCALE_PARAM(5, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_221", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003987)", "SCALE_PARAM(6, thickness, 1.205)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005336)", "SCALE_PARAM(all_members, thickness, 1.124)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_222", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.433)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.209)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_223", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(11, thickness, 1.185)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "SCALE_PARAM(6, thickness, 1.179)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_224", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(9, thickness, 1.189)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "SCALE_PARAM(5, thickness, 1.404)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_225", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.250)", "SCALE_PARAM(1, thickness, 1.304)", "SCALE_PARAM(4, thickness, 1.664)", "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_226", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003284)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002958)", "SCALE_PARAM(all_members, thickness, 1.285)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_227", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.002396)", "SCALE_PARAM(10, thickness, 1.637)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.143)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003552)", "SCALE_PARAM(all_members, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_228", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "SCALE_PARAM(6, thickness, 1.477)", "SCALE_PARAM(2, thickness, 1.379)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_229", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_230", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.333)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003467)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(11, thickness, 1.256)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_231", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "SCALE_PARAM(5, thickness, 1.427)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_232", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002122)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001473)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.168)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003597)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_233", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "SCALE_PARAM(14, thickness, 1.209)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_234", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_235", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.297)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_236", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.350)", "SCALE_PARAM(13, thickness, 1.499)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "SCALE_PARAM(15, thickness, 1.650)", "SCALE_PARAM(5, thickness, 1.335)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_237", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.217)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(10, thickness, 1.443)", "SCALE_PARAM(13, thickness, 1.587)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_238", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.167)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001454)", "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004633)", "SCALE_PARAM(2, thickness, 1.572)", "SCALE_PARAM(all_members, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_239", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(1, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(5, thickness, 1.433)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_240", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_241", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002562)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_242", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001918)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003432)", "SCALE_PARAM(4, thickness, 1.185)", "SCALE_PARAM(10, thickness, 1.441)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004105)", "SCALE_PARAM(all_members, thickness, 1.230)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_243", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002093)", "SCALE_PARAM(all_members, thickness, 1.127)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "SCALE_PARAM(9, thickness, 1.486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_244", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(15, thickness, 1.460)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_245", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003903)", "SCALE_PARAM(all_members, thickness, 1.148)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_246", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_247", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.122)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(4, thickness, 1.634)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_248", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002780)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(12, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_249", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.218)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004888)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(14, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_250", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(9, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(14, thickness, 1.401)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_251", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.499)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(4, thickness, 1.587)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_252", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.626)", "SCALE_PARAM(14, thickness, 1.422)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_253", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.508)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "SCALE_PARAM(4, thickness, 1.431)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_254", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(3, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_255", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.185)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "SCALE_PARAM(11, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_256", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003285)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(0, thickness, 1.565)", "SCALE_PARAM(all_members, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_257", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002796)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003197)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(1, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_258", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "SCALE_PARAM(14, thickness, 1.314)", "SCALE_PARAM(12, thickness, 1.529)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_259", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002690)", "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_260", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.255)", "SCALE_PARAM(14, thickness, 1.362)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(2, thickness, 1.522)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_261", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.244)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003328)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003867)", "SCALE_PARAM(all_members, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_262", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_263", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.342)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003980)", "SCALE_PARAM(9, thickness, 1.493)", "SCALE_PARAM(all_members, thickness, 1.126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_264", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002642)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003558)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003895)", "SCALE_PARAM(all_members, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_265", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002225)", "SCALE_PARAM(12, thickness, 1.348)", "SCALE_PARAM(7, thickness, 1.495)", "SCALE_PARAM(10, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_266", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002544)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.126)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "SCALE_PARAM(14, thickness, 1.385)", "SCALE_PARAM(14, thickness, 1.357)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_267", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.318)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_268", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(1, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_269", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.186)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004045)", "SCALE_PARAM(all_members, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_270", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.527)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.111)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_271", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "SCALE_PARAM(8, thickness, 1.497)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(12, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_272", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003421)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_273", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.536)", "SCALE_PARAM(13, thickness, 1.553)", "SCALE_PARAM(1, thickness, 1.412)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_274", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003743)", "SCALE_PARAM(9, thickness, 1.335)", "SCALE_PARAM(2, thickness, 1.431)", "SCALE_PARAM(10, thickness, 1.311)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_275", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(9, thickness, 1.318)", "SCALE_PARAM(5, thickness, 1.560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_276", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.236)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003403)", "SCALE_PARAM(0, thickness, 1.401)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(8, thickness, 1.626)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(8, thickness, 1.621)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_277", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002994)", "SCALE_PARAM(all_members, thickness, 1.285)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004753)", "SCALE_PARAM(all_members, thickness, 1.147)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_278", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002229)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003286)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(10, thickness, 1.399)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(8, thickness, 1.357)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_279", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004320)", "SCALE_PARAM(2, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.168)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_280", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "SCALE_PARAM(4, thickness, 1.220)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_281", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(4, thickness, 1.468)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_282", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.239)", "SCALE_PARAM(8, thickness, 1.178)", "SCALE_PARAM(0, thickness, 1.572)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(1, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_283", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.225)", "SCALE_PARAM(9, thickness, 1.408)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(15, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_284", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.241)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003838)", "SCALE_PARAM(9, thickness, 1.391)", "SCALE_PARAM(all_members, thickness, 1.151)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_285", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003677)", "SCALE_PARAM(0, thickness, 1.453)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003008)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.297)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_286", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(10, thickness, 1.266)", "SCALE_PARAM(1, thickness, 1.603)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(13, thickness, 1.399)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_287", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004244)", "SCALE_PARAM(7, thickness, 1.441)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004668)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003488)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003930)", "SCALE_PARAM(all_members, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_288", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_289", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002142)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_290", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003086)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.157)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_291", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(13, thickness, 1.555)", "SCALE_PARAM(all_members, thickness, 1.156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_292", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.464)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.314)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003623)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003709)", "SCALE_PARAM(1, thickness, 1.429)", "SCALE_PARAM(all_members, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_293", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.355)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "SCALE_PARAM(4, thickness, 1.580)", "SCALE_PARAM(12, thickness, 1.527)", "SCALE_PARAM(5, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_294", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003855)", "SCALE_PARAM(0, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.309)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_295", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.222)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001156)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002672)", "SCALE_PARAM(all_members, thickness, 1.325)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002790)", "SCALE_PARAM(8, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_296", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003697)", "SCALE_PARAM(0, thickness, 1.181)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004110)", "SCALE_PARAM(0, thickness, 1.282)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003330)", "SCALE_PARAM(all_members, thickness, 1.326)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_297", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.233)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003661)", "SCALE_PARAM(all_members, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_298", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003002)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_299", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003916)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004349)", "SCALE_PARAM(6, thickness, 1.307)", "SCALE_PARAM(8, thickness, 1.661)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(12, thickness, 1.580)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_300", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003333)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002225)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(12, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_301", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_302", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "SCALE_PARAM(10, thickness, 1.299)", "SCALE_PARAM(3, thickness, 1.362)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_303", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.639)", "SCALE_PARAM(4, thickness, 1.439)", "SCALE_PARAM(all_members, thickness, 1.269)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003169)", "SCALE_PARAM(9, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_304", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003841)", "SCALE_PARAM(1, thickness, 1.397)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003897)", "SCALE_PARAM(0, thickness, 1.468)", "SCALE_PARAM(1, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.149)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_305", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(13, thickness, 1.538)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_306", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003805)", "SCALE_PARAM(2, thickness, 1.575)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_307", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005239)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(11, thickness, 1.650)", "SCALE_PARAM(6, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_308", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.289)", "SCALE_PARAM(0, thickness, 1.381)", "SCALE_PARAM(2, thickness, 1.183)", "SCALE_PARAM(7, thickness, 1.287)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_309", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.506)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(13, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_310", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(1, thickness, 1.185)", "SCALE_PARAM(5, thickness, 1.520)", "SCALE_PARAM(3, thickness, 1.368)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_311", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003846)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002134)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003498)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(9, thickness, 1.362)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_312", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.439)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003442)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003344)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_313", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "SCALE_PARAM(3, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_314", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003669)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(5, thickness, 1.217)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_315", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(10, thickness, 1.318)", "SCALE_PARAM(10, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_316", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004125)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(2, thickness, 1.333)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_317", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.149)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002045)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_318", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.258)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002774)", "SCALE_PARAM(all_members, thickness, 1.199)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_319", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.372)", "SCALE_PARAM(13, thickness, 1.181)", "SCALE_PARAM(7, thickness, 1.575)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004466)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003290)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.175)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_320", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.318)", "SCALE_PARAM(4, thickness, 1.456)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002247)", "SCALE_PARAM(1, thickness, 1.658)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.142)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_321", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001016)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002795)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(8, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_322", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(5, thickness, 1.466)", "SCALE_PARAM(all_members, thickness, 1.266)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_323", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(0, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(4, thickness, 1.645)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_324", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.239)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005340)", "SCALE_PARAM(all_members, thickness, 1.122)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_325", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003807)", "SCALE_PARAM(10, thickness, 1.408)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002867)", "SCALE_PARAM(12, thickness, 1.464)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002033)", "SCALE_PARAM(all_members, thickness, 1.160)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_326", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.311)", "SCALE_PARAM(6, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.214)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003596)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(7, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_327", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(all_members, thickness, 1.307)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "SCALE_PARAM(5, thickness, 1.193)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_328", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(1, thickness, 1.504)", "SCALE_PARAM(12, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_329", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(10, thickness, 1.190)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003869)", "SCALE_PARAM(all_members, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_330", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002982)", "SCALE_PARAM(10, thickness, 1.195)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004295)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003785)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004017)", "SCALE_PARAM(all_members, thickness, 1.115)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_331", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(10, thickness, 1.647)", "SCALE_PARAM(10, thickness, 1.287)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "SCALE_PARAM(4, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_332", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002808)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003210)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001500)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(8, thickness, 1.312)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_333", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.289)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_334", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.366)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003624)", "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(1, thickness, 1.186)", "SCALE_PARAM(1, thickness, 1.233)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_335", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003644)", "SCALE_PARAM(11, thickness, 1.404)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003283)", "SCALE_PARAM(all_members, thickness, 1.159)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_336", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003140)", "SCALE_PARAM(6, thickness, 1.312)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003647)", "SCALE_PARAM(all_members, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_337", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003407)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(12, thickness, 1.605)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_338", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.339)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(3, thickness, 1.616)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(4, thickness, 1.178)", "SCALE_PARAM(8, thickness, 1.653)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_339", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.637)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "SCALE_PARAM(6, thickness, 1.250)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_340", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002143)", "SCALE_PARAM(7, thickness, 1.359)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002067)", "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_341", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "SCALE_PARAM(3, thickness, 1.479)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_342", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002722)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002761)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(0, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.272)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_343", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003227)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003274)", "SCALE_PARAM(8, thickness, 1.284)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003501)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.215)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_344", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.634)", "SCALE_PARAM(4, thickness, 1.309)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004016)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(7, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_345", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(0, thickness, 1.439)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(5, thickness, 1.658)", "SCALE_PARAM(3, thickness, 1.462)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_346", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.362)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003117)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "SCALE_PARAM(2, thickness, 1.536)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_347", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "SCALE_PARAM(6, thickness, 1.565)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_348", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003729)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004262)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002808)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004603)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(13, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_349", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.565)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003779)", "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "SCALE_PARAM(7, thickness, 1.318)", "SCALE_PARAM(4, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_350", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "SCALE_PARAM(10, thickness, 1.395)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_351", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.314)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003210)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.230)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "SCALE_PARAM(14, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_352", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003567)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002762)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(15, thickness, 1.368)", "SCALE_PARAM(all_members, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_353", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(0, thickness, 1.233)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004575)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002791)", "SCALE_PARAM(all_members, thickness, 1.192)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_354", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.003469)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(7, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(2, thickness, 1.355)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_355", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003781)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005061)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004261)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(2, thickness, 1.592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_356", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.435)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_357", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.134)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(8, thickness, 1.517)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_358", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(3, thickness, 1.433)", "SCALE_PARAM(14, thickness, 1.372)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_359", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002109)", "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_360", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(6, thickness, 1.285)", "SCALE_PARAM(5, thickness, 1.198)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_361", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001475)", "SCALE_PARAM(12, thickness, 1.513)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "SCALE_PARAM(8, thickness, 1.600)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_362", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002659)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(7, thickness, 1.481)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(3, thickness, 1.218)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_363", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004262)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(0, thickness, 1.335)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_364", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.294)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "SCALE_PARAM(7, thickness, 1.502)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_365", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003319)", "SCALE_PARAM(15, thickness, 1.427)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(2, thickness, 1.623)", "SCALE_PARAM(6, thickness, 1.616)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_366", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002977)", "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.147)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_367", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(2, thickness, 1.221)", "SCALE_PARAM(14, thickness, 1.431)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.161)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_368", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.224)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003005)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(all_members, thickness, 1.232)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_369", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.416)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(10, thickness, 1.538)", "SCALE_PARAM(6, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_370", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.339)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004206)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002127)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(7, thickness, 1.340)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_371", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.259)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003389)", "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004354)", "SCALE_PARAM(2, thickness, 1.605)", "SCALE_PARAM(all_members, thickness, 1.126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_372", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003206)", "SCALE_PARAM(10, thickness, 1.431)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002825)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003649)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_373", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.239)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001421)", "SCALE_PARAM(8, thickness, 1.661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_374", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(15, thickness, 1.245)", "SCALE_PARAM(0, thickness, 1.656)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_375", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(10, thickness, 1.639)", "SCALE_PARAM(13, thickness, 1.610)", "SCALE_PARAM(9, thickness, 1.538)", "SCALE_PARAM(all_members, thickness, 1.171)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_376", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002175)", "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.135)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_377", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003328)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003609)", "SCALE_PARAM(10, thickness, 1.600)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(7, thickness, 1.332)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_378", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.138)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "SCALE_PARAM(13, thickness, 1.592)", "SCALE_PARAM(7, thickness, 1.664)", "SCALE_PARAM(0, thickness, 1.233)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_379", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.529)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "SCALE_PARAM(15, thickness, 1.271)", "SCALE_PARAM(10, thickness, 1.208)", "SCALE_PARAM(10, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_380", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.458)", "SCALE_PARAM(11, thickness, 1.658)", "SCALE_PARAM(all_members, thickness, 1.147)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_381", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003396)", "SCALE_PARAM(14, thickness, 1.486)", "SCALE_PARAM(8, thickness, 1.248)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_382", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(3, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.290)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_383", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(11, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(7, thickness, 1.473)", "SCALE_PARAM(8, thickness, 1.502)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_384", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(12, thickness, 1.198)", "SCALE_PARAM(13, thickness, 1.499)", "SCALE_PARAM(15, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_385", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.447)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(11, thickness, 1.493)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.124)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_386", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003016)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(14, thickness, 1.206)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003072)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(9, thickness, 1.541)", "SCALE_PARAM(6, thickness, 1.637)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_387", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "SCALE_PARAM(4, thickness, 1.178)", "SCALE_PARAM(5, thickness, 1.192)", "SCALE_PARAM(13, thickness, 1.637)", "SCALE_PARAM(2, thickness, 1.534)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_388", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.513)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003236)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(3, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.171)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_389", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(9, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.161)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_390", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(5, thickness, 1.656)", "SCALE_PARAM(12, thickness, 1.600)", "SCALE_PARAM(12, thickness, 1.222)", "SCALE_PARAM(13, thickness, 1.548)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_391", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(13, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_392", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.550)", "SCALE_PARAM(13, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_393", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.431)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(9, thickness, 1.570)", "SCALE_PARAM(15, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_394", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.332)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_395", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.403)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003164)", "SCALE_PARAM(4, thickness, 1.541)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(3, thickness, 1.339)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002938)", "SCALE_PARAM(all_members, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_396", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "SCALE_PARAM(0, thickness, 1.247)", "SCALE_PARAM(1, thickness, 1.667)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_397", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "SCALE_PARAM(8, thickness, 1.639)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_398", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005067)", "SCALE_PARAM(all_members, thickness, 1.183)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_399", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003960)", "SCALE_PARAM(all_members, thickness, 1.115)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_400", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.664)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(2, thickness, 1.647)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_401", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002731)", "SCALE_PARAM(9, thickness, 1.618)", "SCALE_PARAM(5, thickness, 1.445)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(3, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_402", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004715)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004143)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(0, thickness, 1.597)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_403", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.437)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_404", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.117)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_405", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.335)", "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005095)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003474)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(15, thickness, 1.235)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_406", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003708)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003339)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(2, thickness, 1.312)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(7, thickness, 1.553)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_407", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.337)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(13, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_408", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.002750)", "SCALE_PARAM(13, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003677)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001936)", "SCALE_PARAM(4, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.218)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_409", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.182)", "SCALE_PARAM(1, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.326)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "SCALE_PARAM(4, thickness, 1.227)", "SCALE_PARAM(4, thickness, 1.321)", "SCALE_PARAM(5, thickness, 1.357)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_410", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002911)", "SCALE_PARAM(all_members, thickness, 1.244)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004467)", "SCALE_PARAM(all_members, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_411", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "SCALE_PARAM(11, thickness, 1.642)", "SCALE_PARAM(0, thickness, 1.484)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_412", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.462)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(11, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(8, thickness, 1.383)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003751)", "SCALE_PARAM(12, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_413", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.664)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(3, thickness, 1.307)", "SCALE_PARAM(6, thickness, 1.548)", "SCALE_PARAM(all_members, thickness, 1.148)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_414", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(5, thickness, 1.379)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(9, thickness, 1.560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_415", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(3, thickness, 1.292)", "SCALE_PARAM(7, thickness, 1.340)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_416", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.605)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001513)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "SCALE_PARAM(0, thickness, 1.263)", "SCALE_PARAM(12, thickness, 1.302)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_417", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(11, thickness, 1.555)", "SCALE_PARAM(6, thickness, 1.471)", "SCALE_PARAM(all_members, thickness, 1.302)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_418", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003365)", "SCALE_PARAM(7, thickness, 1.517)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(13, thickness, 1.339)", "SCALE_PARAM(10, thickness, 1.490)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_419", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(6, thickness, 1.661)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(all_members, thickness, 1.224)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_420", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(4, thickness, 1.616)", "SCALE_PARAM(all_members, thickness, 1.290)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004702)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003846)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002609)", "SCALE_PARAM(all_members, thickness, 1.276)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_421", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.002846)", "SCALE_PARAM(4, thickness, 1.277)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.002451)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(9, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_422", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.269)", "SCALE_PARAM(10, thickness, 1.560)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_423", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(6, thickness, 1.263)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_424", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.475)", "SCALE_PARAM(5, thickness, 1.597)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002887)", "SCALE_PARAM(all_members, thickness, 1.152)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_425", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.271)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004842)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002686)", "SCALE_PARAM(all_members, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_426", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.600)", "SCALE_PARAM(5, thickness, 1.362)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(all_members, thickness, 1.152)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004611)", "SCALE_PARAM(all_members, thickness, 1.182)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_427", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.323)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "SCALE_PARAM(4, thickness, 1.562)", "SCALE_PARAM(4, thickness, 1.364)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_428", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.605)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002772)", "SCALE_PARAM(1, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.200)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_429", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(3, thickness, 1.555)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_430", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_431", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.357)", "SCALE_PARAM(12, thickness, 1.548)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "SCALE_PARAM(9, thickness, 1.597)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_432", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(9, thickness, 1.271)", "SCALE_PARAM(6, thickness, 1.295)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_433", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003021)", "SCALE_PARAM(all_members, thickness, 1.259)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.003710)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "SCALE_PARAM(4, thickness, 1.471)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_434", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(0, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.160)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_435", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(all_members, thickness, 1.135)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_436", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.186)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_437", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(13, thickness, 1.351)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_438", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.321)", "SCALE_PARAM(6, thickness, 1.647)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_439", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002522)", "SCALE_PARAM(10, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_440", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.437)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003516)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_441", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.577)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(2, thickness, 1.404)", "SCALE_PARAM(1, thickness, 1.353)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_442", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.451)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "SCALE_PARAM(1, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_443", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.555)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.129)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_444", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.280)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001411)", "SCALE_PARAM(10, thickness, 1.408)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_445", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001665)", "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_446", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003339)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003707)", "SCALE_PARAM(all_members, thickness, 1.139)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_447", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003698)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_448", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001822)", "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_449", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "SCALE_PARAM(0, thickness, 1.524)", "SCALE_PARAM(13, thickness, 1.520)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_450", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(4, thickness, 1.319)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003654)", "SCALE_PARAM(all_members, thickness, 1.209)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_451", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(2, thickness, 1.451)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004904)", "SCALE_PARAM(1, thickness, 1.248)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001930)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(11, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_452", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.263)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.002396)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_453", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.002980)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(12, thickness, 1.468)", "SCALE_PARAM(all_members, thickness, 1.276)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_454", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001690)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(3, thickness, 1.479)", "SCALE_PARAM(all_members, thickness, 1.130)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004790)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_455", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(9, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.117)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_456", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.130)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "SCALE_PARAM(9, thickness, 1.304)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "SCALE_PARAM(4, thickness, 1.403)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_457", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(1, thickness, 1.629)", "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_458", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.621)", "SCALE_PARAM(4, thickness, 1.176)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_459", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(4, thickness, 1.366)", "SCALE_PARAM(1, thickness, 1.464)", "SCALE_PARAM(all_members, thickness, 1.121)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_460", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.548)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003576)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(4, thickness, 1.297)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003384)", "SCALE_PARAM(all_members, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_461", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.429)", "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "SCALE_PARAM(7, thickness, 1.227)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_462", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(5, thickness, 1.466)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(1, thickness, 1.653)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_463", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003632)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003827)", "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_464", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.241)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004000)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003907)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_465", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.572)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "SCALE_PARAM(13, thickness, 1.351)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_466", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.003732)", "SCALE_PARAM(3, thickness, 1.661)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(5, thickness, 1.250)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_467", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.441)", "SCALE_PARAM(12, thickness, 1.244)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003223)", "SCALE_PARAM(11, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_468", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.003532)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(15, thickness, 1.366)", "SCALE_PARAM(all_members, thickness, 1.129)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_469", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(12, thickness, 1.473)", "SCALE_PARAM(9, thickness, 1.453)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_470", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004155)", "SCALE_PARAM(10, thickness, 1.348)", "SCALE_PARAM(6, thickness, 1.524)", "SCALE_PARAM(all_members, thickness, 1.215)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_471", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.435)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(4, thickness, 1.488)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(3, thickness, 1.229)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_472", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.245)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004665)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003928)", "SCALE_PARAM(all_members, thickness, 1.285)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_473", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(12, thickness, 1.199)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "SCALE_PARAM(10, thickness, 1.182)", "SCALE_PARAM(13, thickness, 1.307)", "SCALE_PARAM(2, thickness, 1.199)", "SCALE_PARAM(7, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_474", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.003326)", "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004543)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003168)", "SCALE_PARAM(all_members, thickness, 1.200)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "SCALE_PARAM(7, thickness, 1.401)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_475", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.488)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.004445)", "SCALE_PARAM(all_members, thickness, 1.135)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.005996)", "SCALE_PARAM(12, thickness, 1.493)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.004416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_476", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.003425)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002542)", "SCALE_PARAM(6, thickness, 1.597)", "SCALE_PARAM(3, thickness, 1.344)", "SCALE_PARAM(all_members, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_477", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.406)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(3, thickness, 1.368)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002106)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.004276)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_478", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(0, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(5, thickness, 1.366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_479", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.357)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_480", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.229)", "SCALE_PARAM(10, thickness, 1.176)", "SCALE_PARAM(0, thickness, 1.645)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001839)", "SCALE_PARAM(all_members, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_481", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.190)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "SCALE_PARAM(10, thickness, 1.567)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_482", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(6, thickness, 1.186)", "SCALE_PARAM(5, thickness, 1.647)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(7, thickness, 1.433)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_483", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.001312)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(9, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_484", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.299)", "SCALE_PARAM(6, thickness, 1.656)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(3, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_485", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.022814, 0.003802)", "SCALE_PARAM(2, thickness, 1.200)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.004221)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.005452)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_486", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.147)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.002694)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.026499, 0.003578)", "SCALE_PARAM(9, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(0, thickness, 1.344)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_487", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.029426, 0.004904)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026881, 0.004480)", "SCALE_PARAM(7, thickness, 1.515)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_488", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.217)", "SCALE_PARAM(14, thickness, 1.647)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_489", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.477)", "SCALE_PARAM(5, thickness, 1.289)", "SCALE_PARAM(0, thickness, 1.513)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_490", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002597)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.028743, 0.002947)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_491", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.529)", "SCALE_PARAM(10, thickness, 1.200)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.004632)", "SCALE_PARAM(12, thickness, 1.328)", "SCALE_PARAM(13, thickness, 1.374)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_492", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.290)", "SCALE_PARAM(0, thickness, 1.255)", "SCALE_PARAM(11, thickness, 1.558)", "SCALE_PARAM(1, thickness, 1.587)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.030289, 0.005048)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_493", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(7, thickness, 1.408)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_494", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(6, thickness, 1.340)", "SCALE_PARAM(all_members, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_495", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.014154, 0.002359)", "SCALE_PARAM(1, thickness, 1.258)", "SCALE_PARAM(0, thickness, 1.585)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.003326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_496", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.035973, 0.004583)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(3, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_497", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.019955, 0.001343)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.002187)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.032711, 0.002825)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_498", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.025326, 0.003525)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(5, thickness, 1.233)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_094", "trace_id": "auto_problem_094_trace_499", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 94)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.24, 0.00) [free]\n J2: pos=(6.47, 0.00) [free]\n J3: pos=(9.71, 0.00) [roller]\n J4: pos=(0.00, 1.86) [free]\n J5: pos=(3.24, 1.86) [free]\n J6: pos=(6.47, 1.86) [free]\n J7: pos=(9.71, 1.86) [free]\n\nMembers (14 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0324, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0334, t=0.0047)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0273, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0265, t=0.0037)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0327, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0261, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0200, t=0.0028)]\n M7: J2-J6 [A36_Steel, Pipe(r=0.0142, t=0.0020)]\n M8: J3-J7 [A36_Steel, Pipe(r=0.0275, t=0.0039)]\n M9: J0-J5 [A36_Steel, Pipe(r=0.0360, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0294, t=0.0042)]\n M11: J2-J5 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n M12: J2-J7 [A36_Steel, Pipe(r=0.0253, t=0.0036)]\n M13: J3-J6 [A36_Steel, Pipe(r=0.0303, t=0.0043)]\n\nLOADING:\n Joint J4: Force=(0, -53090, 0) N\n Joint J5: Force=(0, -64745, 0) N\n Joint J7: Force=(0, -75695, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 333.76 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 227.7982353603523, "fos_buckling": 0.757288878463094, "fos_yielding": 1.747379017458573, "deflection": 0.006926325210734019, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(14, thickness, 1.524)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_0", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "SCALE_PARAM(13, thickness, 1.645)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_1", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(15, thickness, 1.471)", "SCALE_PARAM(all_members, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_2", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.252)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_3", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005234)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_4", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.326)", "SCALE_PARAM(12, thickness, 1.206)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_5", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.241)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004467)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001407)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(6, thickness, 1.425)", "SCALE_PARAM(0, thickness, 1.346)", "SCALE_PARAM(all_members, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_6", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002743)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(4, thickness, 1.587)", "SCALE_PARAM(all_members, thickness, 1.157)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_7", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.379)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(9, thickness, 1.233)", "SCALE_PARAM(10, thickness, 1.350)", "SCALE_PARAM(all_members, thickness, 1.135)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_8", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(10, thickness, 1.258)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005106)", "SCALE_PARAM(all_members, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_9", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004102)", "SCALE_PARAM(all_members, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_10", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006382)", "SCALE_PARAM(all_members, thickness, 1.276)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "SCALE_PARAM(12, thickness, 1.451)", "SCALE_PARAM(12, thickness, 1.517)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_11", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005412)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(15, thickness, 1.242)", "SCALE_PARAM(7, thickness, 1.391)", "SCALE_PARAM(9, thickness, 1.464)", "SCALE_PARAM(all_members, thickness, 1.255)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_12", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(9, thickness, 1.182)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006068)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(1, thickness, 1.497)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_13", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(5, thickness, 1.616)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_14", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003882)", "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004206)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(0, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_15", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(0, thickness, 1.190)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005179)", "SCALE_PARAM(all_members, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_16", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005710)", "SCALE_PARAM(8, thickness, 1.435)", "SCALE_PARAM(11, thickness, 1.361)", "SCALE_PARAM(all_members, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_17", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005377)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005682)", "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_18", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006367)", "SCALE_PARAM(8, thickness, 1.546)", "SCALE_PARAM(9, thickness, 1.370)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(0, thickness, 1.433)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_19", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.112)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_20", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.002806)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(7, thickness, 1.359)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_21", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.127)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005833)", "SCALE_PARAM(3, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_22", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(2, thickness, 1.239)", "SCALE_PARAM(7, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_23", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003216)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(10, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005478)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003121)", "SCALE_PARAM(all_members, thickness, 1.302)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_24", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.135)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.003807)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004253)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "SCALE_PARAM(5, thickness, 1.570)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_25", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(6, thickness, 1.449)", "SCALE_PARAM(all_members, thickness, 1.304)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005399)", "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_26", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.477)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004338)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_27", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001880)", "SCALE_PARAM(all_members, thickness, 1.136)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "SCALE_PARAM(14, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_28", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.610)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004989)", "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_29", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005394)", "SCALE_PARAM(1, thickness, 1.479)", "SCALE_PARAM(all_members, thickness, 1.250)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_30", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004516)", "SCALE_PARAM(all_members, thickness, 1.175)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001820)", "SCALE_PARAM(all_members, thickness, 1.174)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(11, thickness, 1.639)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_31", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "SCALE_PARAM(14, thickness, 1.546)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_32", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005491)", "SCALE_PARAM(10, thickness, 1.629)", "SCALE_PARAM(12, thickness, 1.200)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_33", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.253)", "SCALE_PARAM(3, thickness, 1.616)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(12, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_34", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.182)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "SCALE_PARAM(7, thickness, 1.342)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_35", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.156)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003965)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006264)", "SCALE_PARAM(all_members, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_36", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.585)", "SCALE_PARAM(3, thickness, 1.340)", "SCALE_PARAM(12, thickness, 1.527)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_37", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004087)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_38", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.447)", "SCALE_PARAM(0, thickness, 1.608)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_39", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "SCALE_PARAM(1, thickness, 1.443)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_40", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005206)", "SCALE_PARAM(13, thickness, 1.531)", "SCALE_PARAM(9, thickness, 1.393)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005679)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_41", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.175)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_42", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006183)", "SCALE_PARAM(all_members, thickness, 1.153)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "SCALE_PARAM(8, thickness, 1.531)", "SCALE_PARAM(4, thickness, 1.193)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_43", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.479)", "SCALE_PARAM(7, thickness, 1.359)", "SCALE_PARAM(10, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_44", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.443)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005949)", "SCALE_PARAM(all_members, thickness, 1.142)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_45", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007158)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(10, thickness, 1.473)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_46", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_47", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(3, thickness, 1.389)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_48", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.230)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002688)", "SCALE_PARAM(7, thickness, 1.513)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_49", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.597)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(1, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_50", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003557)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006007)", "SCALE_PARAM(13, thickness, 1.650)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004445)", "SCALE_PARAM(11, thickness, 1.511)", "SCALE_PARAM(all_members, thickness, 1.122)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_51", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.337)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004793)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(10, thickness, 1.475)", "SCALE_PARAM(all_members, thickness, 1.220)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(12, thickness, 1.631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_52", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "SCALE_PARAM(4, thickness, 1.383)", "SCALE_PARAM(11, thickness, 1.572)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_53", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003121)", "SCALE_PARAM(7, thickness, 1.302)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_54", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.168)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002284)", "SCALE_PARAM(9, thickness, 1.376)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(7, thickness, 1.550)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_55", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.292)", "SCALE_PARAM(4, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(3, thickness, 1.355)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(13, thickness, 1.178)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_56", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.250)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_57", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.414)", "SCALE_PARAM(5, thickness, 1.319)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005128)", "SCALE_PARAM(all_members, thickness, 1.316)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_58", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "SCALE_PARAM(3, thickness, 1.592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_59", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(12, thickness, 1.484)", "SCALE_PARAM(10, thickness, 1.351)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005537)", "SCALE_PARAM(13, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_60", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001665)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005286)", "SCALE_PARAM(4, thickness, 1.391)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006342)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_61", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "SCALE_PARAM(14, thickness, 1.484)", "SCALE_PARAM(12, thickness, 1.616)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_62", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.418)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(3, thickness, 1.351)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(13, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_63", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003263)", "SCALE_PARAM(4, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(13, thickness, 1.567)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_64", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.471)", "SCALE_PARAM(13, thickness, 1.399)", "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005760)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(0, thickness, 1.431)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_65", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.311)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004559)", "SCALE_PARAM(4, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_66", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004415)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(11, thickness, 1.433)", "SCALE_PARAM(2, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_67", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006388)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005405)", "SCALE_PARAM(4, thickness, 1.468)", "SCALE_PARAM(2, thickness, 1.346)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_68", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005901)", "SCALE_PARAM(1, thickness, 1.553)", "SCALE_PARAM(4, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.208)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_69", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.385)", "SCALE_PARAM(13, thickness, 1.287)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004064)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_70", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.241)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005449)", "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005246)", "SCALE_PARAM(all_members, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_71", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.305)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005558)", "SCALE_PARAM(3, thickness, 1.420)", "SCALE_PARAM(all_members, thickness, 1.121)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_72", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.468)", "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_73", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(4, thickness, 1.582)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006511)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(3, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_74", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(9, thickness, 1.580)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_75", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.289)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001061)", "SCALE_PARAM(7, thickness, 1.427)", "SCALE_PARAM(8, thickness, 1.486)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(0, thickness, 1.658)", "SCALE_PARAM(all_members, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_76", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.458)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_77", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005604)", "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_78", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.241)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003840)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(1, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.330)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_79", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.441)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_80", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(4, thickness, 1.639)", "SCALE_PARAM(all_members, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_81", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.001740)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(7, thickness, 1.504)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005280)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005454)", "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_82", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005962)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005607)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007154)", "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_83", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.252)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "SCALE_PARAM(3, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_84", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.555)", "SCALE_PARAM(5, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.148)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_85", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(10, thickness, 1.350)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(13, thickness, 1.272)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_86", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003378)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_87", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(14, thickness, 1.592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_88", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(11, thickness, 1.506)", "SCALE_PARAM(10, thickness, 1.215)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "SCALE_PARAM(11, thickness, 1.656)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_89", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.642)", "SCALE_PARAM(11, thickness, 1.458)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005289)", "SCALE_PARAM(3, thickness, 1.348)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_90", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.307)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006024)", "SCALE_PARAM(12, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_91", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(1, thickness, 1.267)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_92", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.002936)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(8, thickness, 1.479)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(7, thickness, 1.344)", "SCALE_PARAM(all_members, thickness, 1.326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_93", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "SCALE_PARAM(2, thickness, 1.403)", "SCALE_PARAM(11, thickness, 1.355)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "SCALE_PARAM(6, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_94", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.558)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "SCALE_PARAM(7, thickness, 1.339)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_95", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.626)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005267)", "SCALE_PARAM(all_members, thickness, 1.289)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_96", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.304)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003608)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.140)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005919)", "SCALE_PARAM(all_members, thickness, 1.147)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_97", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(8, thickness, 1.259)", "SCALE_PARAM(8, thickness, 1.520)", "SCALE_PARAM(8, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_98", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(7, thickness, 1.377)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(2, thickness, 1.253)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_99", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.130)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003553)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005581)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005766)", "SCALE_PARAM(all_members, thickness, 1.144)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_100", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(all_members, thickness, 1.250)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_101", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(3, thickness, 1.271)", "SCALE_PARAM(1, thickness, 1.451)", "SCALE_PARAM(13, thickness, 1.529)", "SCALE_PARAM(11, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_102", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003905)", "SCALE_PARAM(3, thickness, 1.504)", "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_103", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005728)", "SCALE_PARAM(4, thickness, 1.362)", "SCALE_PARAM(13, thickness, 1.618)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006367)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005261)", "SCALE_PARAM(all_members, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_104", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(1, thickness, 1.323)", "SCALE_PARAM(7, thickness, 1.333)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_105", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004882)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(1, thickness, 1.410)", "SCALE_PARAM(7, thickness, 1.422)", "SCALE_PARAM(7, thickness, 1.582)", "SCALE_PARAM(all_members, thickness, 1.236)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_106", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.335)", "SCALE_PARAM(6, thickness, 1.381)", "SCALE_PARAM(9, thickness, 1.435)", "SCALE_PARAM(9, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_107", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.244)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004947)", "SCALE_PARAM(all_members, thickness, 1.290)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_108", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.232)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005839)", "SCALE_PARAM(all_members, thickness, 1.155)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_109", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.285)", "SCALE_PARAM(12, thickness, 1.443)", "SCALE_PARAM(1, thickness, 1.289)", "SCALE_PARAM(9, thickness, 1.550)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_110", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003494)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006132)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005837)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(14, thickness, 1.431)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_111", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "SCALE_PARAM(4, thickness, 1.645)", "SCALE_PARAM(0, thickness, 1.422)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_112", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006748)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(12, thickness, 1.429)", "SCALE_PARAM(4, thickness, 1.205)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_113", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003619)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.176)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005462)", "SCALE_PARAM(all_members, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_114", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(11, thickness, 1.445)", "SCALE_PARAM(2, thickness, 1.610)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_115", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.502)", "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "SCALE_PARAM(14, thickness, 1.435)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_116", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(13, thickness, 1.258)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004754)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001425)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.230)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_117", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(14, thickness, 1.590)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(1, thickness, 1.616)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_118", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(7, thickness, 1.377)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_119", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(12, thickness, 1.548)", "SCALE_PARAM(4, thickness, 1.506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_120", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(2, thickness, 1.473)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006111)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.116)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_121", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001612)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006142)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005377)", "SCALE_PARAM(all_members, thickness, 1.326)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "SCALE_PARAM(1, thickness, 1.513)", "SCALE_PARAM(14, thickness, 1.490)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_122", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003653)", "SCALE_PARAM(all_members, thickness, 1.196)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001238)", "SCALE_PARAM(2, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_123", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(12, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.252)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_124", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.393)", "SCALE_PARAM(6, thickness, 1.185)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004638)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(9, thickness, 1.484)", "SCALE_PARAM(0, thickness, 1.441)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_125", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(11, thickness, 1.245)", "SCALE_PARAM(8, thickness, 1.658)", "SCALE_PARAM(0, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_126", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.279)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001285)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(15, thickness, 1.359)", "SCALE_PARAM(7, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_127", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.218)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003259)", "SCALE_PARAM(12, thickness, 1.536)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005444)", "SCALE_PARAM(0, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(3, thickness, 1.497)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_128", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.190)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "SCALE_PARAM(5, thickness, 1.383)", "SCALE_PARAM(14, thickness, 1.230)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_129", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "SCALE_PARAM(11, thickness, 1.585)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_130", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(10, thickness, 1.416)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006313)", "SCALE_PARAM(4, thickness, 1.206)", "SCALE_PARAM(8, thickness, 1.456)", "SCALE_PARAM(all_members, thickness, 1.290)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_131", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002178)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003823)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.302)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_132", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.479)", "SCALE_PARAM(5, thickness, 1.247)", "SCALE_PARAM(14, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.130)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(6, thickness, 1.225)", "SCALE_PARAM(8, thickness, 1.522)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_133", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.524)", "SCALE_PARAM(all_members, thickness, 1.122)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(6, thickness, 1.481)", "SCALE_PARAM(6, thickness, 1.439)", "SCALE_PARAM(1, thickness, 1.353)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_134", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003861)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(5, thickness, 1.330)", "SCALE_PARAM(12, thickness, 1.531)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_135", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.466)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(11, thickness, 1.374)", "SCALE_PARAM(all_members, thickness, 1.117)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005267)", "SCALE_PARAM(all_members, thickness, 1.183)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_136", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.335)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004669)", "SCALE_PARAM(5, thickness, 1.225)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "SCALE_PARAM(10, thickness, 1.616)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_137", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(2, thickness, 1.290)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005590)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(15, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_138", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(7, thickness, 1.263)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_139", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.621)", "SCALE_PARAM(0, thickness, 1.481)", "SCALE_PARAM(3, thickness, 1.325)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(2, thickness, 1.355)", "SCALE_PARAM(9, thickness, 1.399)", "SCALE_PARAM(5, thickness, 1.425)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_140", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.157)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_141", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.003683)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(5, thickness, 1.414)", "SCALE_PARAM(5, thickness, 1.353)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(10, thickness, 1.580)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_142", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.235)", "SCALE_PARAM(11, thickness, 1.585)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(7, thickness, 1.613)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_143", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006020)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006369)", "SCALE_PARAM(1, thickness, 1.244)", "SCALE_PARAM(10, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_144", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.582)", "SCALE_PARAM(12, thickness, 1.188)", "SCALE_PARAM(15, thickness, 1.277)", "SCALE_PARAM(1, thickness, 1.495)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.147)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_145", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.256)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_146", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005374)", "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005983)", "SCALE_PARAM(all_members, thickness, 1.261)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_147", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(13, thickness, 1.259)", "SCALE_PARAM(0, thickness, 1.497)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_148", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(5, thickness, 1.464)", "SCALE_PARAM(8, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_149", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(9, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(9, thickness, 1.502)", "SCALE_PARAM(15, thickness, 1.639)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(15, thickness, 1.460)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_150", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.634)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "SCALE_PARAM(4, thickness, 1.195)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_151", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.183)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "SCALE_PARAM(2, thickness, 1.522)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_152", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_153", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(10, thickness, 1.242)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_154", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_155", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(11, thickness, 1.326)", "SCALE_PARAM(1, thickness, 1.232)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004936)", "SCALE_PARAM(all_members, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_156", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.560)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.168)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004686)", "SCALE_PARAM(5, thickness, 1.330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_157", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005674)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004594)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004968)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(all_members, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_158", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003354)", "SCALE_PARAM(all_members, thickness, 1.212)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_159", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(4, thickness, 1.529)", "SCALE_PARAM(11, thickness, 1.511)", "SCALE_PARAM(all_members, thickness, 1.205)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_160", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.553)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.152)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006465)", "SCALE_PARAM(11, thickness, 1.490)", "SCALE_PARAM(all_members, thickness, 1.259)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_161", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(1, thickness, 1.292)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "SCALE_PARAM(3, thickness, 1.328)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_162", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003357)", "SCALE_PARAM(15, thickness, 1.427)", "SCALE_PARAM(all_members, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_163", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(5, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.172)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "SCALE_PARAM(13, thickness, 1.546)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_164", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.481)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004165)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(all_members, thickness, 1.309)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "SCALE_PARAM(15, thickness, 1.412)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_165", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.220)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "SCALE_PARAM(11, thickness, 1.385)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_166", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.245)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005495)", "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "SCALE_PARAM(1, thickness, 1.404)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_167", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005025)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004493)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.290)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "SCALE_PARAM(7, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_168", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002563)", "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001705)", "SCALE_PARAM(2, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_169", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.209)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "SCALE_PARAM(11, thickness, 1.520)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_170", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_171", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001723)", "SCALE_PARAM(1, thickness, 1.410)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005749)", "SCALE_PARAM(all_members, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_172", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005485)", "SCALE_PARAM(7, thickness, 1.451)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.171)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_173", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001235)", "SCALE_PARAM(10, thickness, 1.458)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.002683)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(14, thickness, 1.420)", "SCALE_PARAM(all_members, thickness, 1.115)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_174", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "SCALE_PARAM(7, thickness, 1.335)", "SCALE_PARAM(8, thickness, 1.504)", "SCALE_PARAM(7, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_175", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003642)", "SCALE_PARAM(7, thickness, 1.221)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005525)", "SCALE_PARAM(1, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(15, thickness, 1.435)", "SCALE_PARAM(all_members, thickness, 1.159)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_176", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.499)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(2, thickness, 1.379)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(9, thickness, 1.560)", "SCALE_PARAM(2, thickness, 1.445)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_177", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(2, thickness, 1.658)", "SCALE_PARAM(13, thickness, 1.285)", "SCALE_PARAM(5, thickness, 1.543)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_178", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002979)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004977)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004946)", "SCALE_PARAM(0, thickness, 1.389)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_179", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.582)", "SCALE_PARAM(6, thickness, 1.629)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_180", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.543)", "SCALE_PARAM(10, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_181", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.227)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007074)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005895)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(15, thickness, 1.200)", "SCALE_PARAM(6, thickness, 1.546)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_182", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.393)", "SCALE_PARAM(9, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(15, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_183", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(12, thickness, 1.414)", "SCALE_PARAM(0, thickness, 1.550)", "SCALE_PARAM(11, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_184", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.562)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004833)", "SCALE_PARAM(all_members, thickness, 1.290)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_185", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(1, thickness, 1.290)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_186", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(12, thickness, 1.486)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005471)", "SCALE_PARAM(all_members, thickness, 1.139)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_187", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004474)", "SCALE_PARAM(5, thickness, 1.621)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004005)", "SCALE_PARAM(13, thickness, 1.653)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(13, thickness, 1.590)", "SCALE_PARAM(all_members, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_188", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.156)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004834)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005140)", "SCALE_PARAM(4, thickness, 1.488)", "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_189", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.555)", "SCALE_PARAM(9, thickness, 1.565)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003213)", "SCALE_PARAM(11, thickness, 1.488)", "SCALE_PARAM(6, thickness, 1.264)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_190", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.186)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005496)", "SCALE_PARAM(1, thickness, 1.227)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007013)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(8, thickness, 1.610)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_191", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.333)", "SCALE_PARAM(10, thickness, 1.572)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_192", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.182)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004667)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.200)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_193", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.326)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_194", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003226)", "SCALE_PARAM(2, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(15, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_195", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.406)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001300)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_196", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.410)", "SCALE_PARAM(7, thickness, 1.618)", "SCALE_PARAM(13, thickness, 1.403)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "SCALE_PARAM(15, thickness, 1.276)", "SCALE_PARAM(1, thickness, 1.558)", "SCALE_PARAM(4, thickness, 1.506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_197", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.253)", "SCALE_PARAM(1, thickness, 1.616)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "SCALE_PARAM(12, thickness, 1.259)", "SCALE_PARAM(11, thickness, 1.543)", "SCALE_PARAM(9, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_198", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.391)", "SCALE_PARAM(4, thickness, 1.460)", "SCALE_PARAM(4, thickness, 1.287)", "SCALE_PARAM(11, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.183)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_199", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.235)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005334)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_200", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.282)", "SCALE_PARAM(0, thickness, 1.255)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_201", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005428)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(4, thickness, 1.255)", "SCALE_PARAM(4, thickness, 1.460)", "SCALE_PARAM(8, thickness, 1.364)", "SCALE_PARAM(1, thickness, 1.393)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_202", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.186)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005563)", "SCALE_PARAM(all_members, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_203", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(10, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(13, thickness, 1.346)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_204", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004794)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.002727)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(5, thickness, 1.346)", "SCALE_PARAM(all_members, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_205", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.437)", "SCALE_PARAM(12, thickness, 1.374)", "SCALE_PARAM(1, thickness, 1.346)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_206", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004326)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003868)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(8, thickness, 1.610)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_207", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007076)", "SCALE_PARAM(7, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.151)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_208", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006263)", "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(12, thickness, 1.493)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_209", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004818)", "SCALE_PARAM(0, thickness, 1.272)", "SCALE_PARAM(10, thickness, 1.565)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_210", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.117)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_211", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001807)", "SCALE_PARAM(3, thickness, 1.608)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003436)", "SCALE_PARAM(all_members, thickness, 1.183)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_212", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002934)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(4, thickness, 1.244)", "SCALE_PARAM(2, thickness, 1.582)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_213", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.133)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003978)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003653)", "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005798)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(all_members, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_214", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007080)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005900)", "SCALE_PARAM(14, thickness, 1.603)", "SCALE_PARAM(all_members, thickness, 1.151)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001713)", "SCALE_PARAM(8, thickness, 1.247)", "SCALE_PARAM(11, thickness, 1.567)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_215", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "SCALE_PARAM(15, thickness, 1.634)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_216", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(12, thickness, 1.475)", "SCALE_PARAM(7, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_217", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004308)", "SCALE_PARAM(3, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.149)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006316)", "SCALE_PARAM(12, thickness, 1.332)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003151)", "SCALE_PARAM(all_members, thickness, 1.290)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_218", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.302)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004069)", "SCALE_PARAM(8, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(14, thickness, 1.493)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_219", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(1, thickness, 1.477)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_220", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001253)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(9, thickness, 1.272)", "SCALE_PARAM(13, thickness, 1.658)", "SCALE_PARAM(all_members, thickness, 1.143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_221", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004652)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(12, thickness, 1.205)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005641)", "SCALE_PARAM(all_members, thickness, 1.170)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_222", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003720)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002425)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(13, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_223", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.481)", "SCALE_PARAM(all_members, thickness, 1.276)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003664)", "SCALE_PARAM(10, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006504)", "SCALE_PARAM(all_members, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_224", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005149)", "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005227)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006178)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001750)", "SCALE_PARAM(all_members, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_225", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(4, thickness, 1.506)", "SCALE_PARAM(4, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.309)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001803)", "SCALE_PARAM(all_members, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_226", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.562)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(10, thickness, 1.333)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_227", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.562)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(3, thickness, 1.477)", "SCALE_PARAM(6, thickness, 1.479)", "SCALE_PARAM(7, thickness, 1.374)", "SCALE_PARAM(4, thickness, 1.479)", "SCALE_PARAM(4, thickness, 1.198)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_228", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.295)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005354)", "SCALE_PARAM(7, thickness, 1.541)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.124)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_229", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003617)", "SCALE_PARAM(6, thickness, 1.631)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(12, thickness, 1.468)", "SCALE_PARAM(all_members, thickness, 1.161)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004925)", "SCALE_PARAM(all_members, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_230", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.224)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "SCALE_PARAM(1, thickness, 1.447)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "SCALE_PARAM(9, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_231", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.002676)", "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004389)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(11, thickness, 1.529)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_232", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.003561)", "SCALE_PARAM(11, thickness, 1.550)", "SCALE_PARAM(all_members, thickness, 1.157)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005575)", "SCALE_PARAM(3, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_233", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006757)", "SCALE_PARAM(0, thickness, 1.215)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006258)", "SCALE_PARAM(all_members, thickness, 1.205)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(15, thickness, 1.217)", "SCALE_PARAM(0, thickness, 1.366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_234", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.248)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002491)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(all_members, thickness, 1.212)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006069)", "SCALE_PARAM(all_members, thickness, 1.175)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_235", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005495)", "SCALE_PARAM(12, thickness, 1.555)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006138)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001840)", "SCALE_PARAM(4, thickness, 1.460)", "SCALE_PARAM(all_members, thickness, 1.161)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_236", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003953)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.002546)", "SCALE_PARAM(15, thickness, 1.587)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(6, thickness, 1.618)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_237", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004547)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_238", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.634)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(13, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(3, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(2, thickness, 1.335)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_239", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004171)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004197)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(1, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_240", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.328)", "SCALE_PARAM(9, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.168)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "SCALE_PARAM(4, thickness, 1.256)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_241", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.517)", "SCALE_PARAM(6, thickness, 1.205)", "SCALE_PARAM(9, thickness, 1.529)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_242", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005797)", "SCALE_PARAM(14, thickness, 1.342)", "SCALE_PARAM(10, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.171)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_243", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(2, thickness, 1.499)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004351)", "SCALE_PARAM(2, thickness, 1.623)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_244", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002997)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005259)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004975)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(11, thickness, 1.513)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_245", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.493)", "SCALE_PARAM(9, thickness, 1.435)", "SCALE_PARAM(all_members, thickness, 1.250)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_246", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(12, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(12, thickness, 1.453)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_247", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(0, thickness, 1.647)", "SCALE_PARAM(all_members, thickness, 1.242)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005479)", "SCALE_PARAM(all_members, thickness, 1.302)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_248", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(4, thickness, 1.376)", "SCALE_PARAM(5, thickness, 1.435)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_249", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(all_members, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_250", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "SCALE_PARAM(13, thickness, 1.560)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_251", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004973)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(5, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_252", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(3, thickness, 1.567)", "SCALE_PARAM(9, thickness, 1.221)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(15, thickness, 1.486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_253", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003892)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001794)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006838)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(3, thickness, 1.538)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_254", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.529)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005596)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001585)", "SCALE_PARAM(3, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_255", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004947)", "SCALE_PARAM(all_members, thickness, 1.259)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "SCALE_PARAM(13, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_256", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005099)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004979)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001707)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005388)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006026)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_257", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(9, thickness, 1.475)", "SCALE_PARAM(1, thickness, 1.328)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005760)", "SCALE_PARAM(6, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.309)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_258", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006621)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003566)", "SCALE_PARAM(12, thickness, 1.284)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005602)", "SCALE_PARAM(all_members, thickness, 1.139)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_259", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005255)", "SCALE_PARAM(11, thickness, 1.664)", "SCALE_PARAM(6, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004490)", "SCALE_PARAM(15, thickness, 1.502)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_260", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_261", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(12, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.114)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_262", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.460)", "SCALE_PARAM(0, thickness, 1.575)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005634)", "SCALE_PARAM(12, thickness, 1.229)", "SCALE_PARAM(7, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(8, thickness, 1.383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_263", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "SCALE_PARAM(9, thickness, 1.642)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(1, thickness, 1.597)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_264", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.401)", "SCALE_PARAM(12, thickness, 1.508)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(6, thickness, 1.541)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_265", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.002222)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.002402)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.236)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_266", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.149)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(0, thickness, 1.242)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005647)", "SCALE_PARAM(11, thickness, 1.337)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_267", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004615)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "SCALE_PARAM(11, thickness, 1.634)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_268", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(15, thickness, 1.538)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(6, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_269", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005038)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004404)", "SCALE_PARAM(7, thickness, 1.466)", "SCALE_PARAM(4, thickness, 1.252)", "SCALE_PARAM(0, thickness, 1.443)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.135)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_270", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002002)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004012)", "SCALE_PARAM(3, thickness, 1.437)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003718)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_271", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.377)", "SCALE_PARAM(0, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(10, thickness, 1.176)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006347)", "SCALE_PARAM(all_members, thickness, 1.124)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_272", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004471)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005411)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_273", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.174)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004807)", "SCALE_PARAM(all_members, thickness, 1.318)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001795)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005360)", "SCALE_PARAM(all_members, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_274", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004353)", "SCALE_PARAM(5, thickness, 1.572)", "SCALE_PARAM(0, thickness, 1.486)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005377)", "SCALE_PARAM(all_members, thickness, 1.168)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006282)", "SCALE_PARAM(all_members, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_275", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.560)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002314)", "SCALE_PARAM(all_members, thickness, 1.135)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "SCALE_PARAM(7, thickness, 1.546)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_276", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004648)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003851)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004071)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(5, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.155)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_277", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004695)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005370)", "SCALE_PARAM(all_members, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_278", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005562)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(13, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_279", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.136)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003053)", "SCALE_PARAM(7, thickness, 1.427)", "SCALE_PARAM(4, thickness, 1.279)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005358)", "SCALE_PARAM(all_members, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_280", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.410)", "SCALE_PARAM(7, thickness, 1.351)", "SCALE_PARAM(6, thickness, 1.443)", "SCALE_PARAM(all_members, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_281", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005186)", "SCALE_PARAM(10, thickness, 1.276)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005448)", "SCALE_PARAM(4, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.309)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_282", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(11, thickness, 1.261)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_283", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.312)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005018)", "SCALE_PARAM(14, thickness, 1.466)", "SCALE_PARAM(6, thickness, 1.511)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(5, thickness, 1.362)", "SCALE_PARAM(13, thickness, 1.403)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_284", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.181)", "SCALE_PARAM(1, thickness, 1.464)", "SCALE_PARAM(12, thickness, 1.215)", "SCALE_PARAM(14, thickness, 1.642)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_285", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001873)", "SCALE_PARAM(all_members, thickness, 1.140)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_286", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.621)", "SCALE_PARAM(1, thickness, 1.422)", "SCALE_PARAM(12, thickness, 1.372)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_287", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004079)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004821)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(14, thickness, 1.267)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_288", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004361)", "SCALE_PARAM(5, thickness, 1.418)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.215)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_289", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.362)", "SCALE_PARAM(12, thickness, 1.582)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(11, thickness, 1.445)", "SCALE_PARAM(4, thickness, 1.221)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_290", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.294)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002903)", "SCALE_PARAM(all_members, thickness, 1.206)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005504)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_291", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.002778)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(0, thickness, 1.558)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003099)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_292", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005594)", "SCALE_PARAM(all_members, thickness, 1.276)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "SCALE_PARAM(7, thickness, 1.340)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_293", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.379)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006925)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_294", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005273)", "SCALE_PARAM(10, thickness, 1.255)", "SCALE_PARAM(5, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(0, thickness, 1.245)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_295", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(9, thickness, 1.513)", "SCALE_PARAM(2, thickness, 1.546)", "SCALE_PARAM(all_members, thickness, 1.171)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_296", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.196)", "SCALE_PARAM(8, thickness, 1.248)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004428)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(11, thickness, 1.502)", "SCALE_PARAM(all_members, thickness, 1.321)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_297", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004093)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(6, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(6, thickness, 1.422)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_298", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.205)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003389)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "SCALE_PARAM(7, thickness, 1.199)", "SCALE_PARAM(1, thickness, 1.376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_299", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "SCALE_PARAM(2, thickness, 1.220)", "SCALE_PARAM(11, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_300", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.653)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001603)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006110)", "SCALE_PARAM(all_members, thickness, 1.333)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_301", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003673)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003282)", "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_302", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.502)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005358)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(8, thickness, 1.437)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_303", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001658)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_304", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.451)", "SCALE_PARAM(9, thickness, 1.221)", "SCALE_PARAM(9, thickness, 1.337)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(11, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_305", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004523)", "SCALE_PARAM(all_members, thickness, 1.127)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001706)", "SCALE_PARAM(all_members, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_306", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005742)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001808)", "SCALE_PARAM(all_members, thickness, 1.182)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "SCALE_PARAM(12, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_307", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.456)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(13, thickness, 1.233)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_308", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.443)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002763)", "SCALE_PARAM(6, thickness, 1.471)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "SCALE_PARAM(1, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_309", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.387)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004064)", "SCALE_PARAM(all_members, thickness, 1.171)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004897)", "SCALE_PARAM(8, thickness, 1.536)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(all_members, thickness, 1.198)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_310", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.316)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006332)", "SCALE_PARAM(6, thickness, 1.531)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(15, thickness, 1.339)", "SCALE_PARAM(1, thickness, 1.642)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_311", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.133)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005556)", "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_312", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(10, thickness, 1.362)", "SCALE_PARAM(3, thickness, 1.560)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006991)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005828)", "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_313", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "SCALE_PARAM(5, thickness, 1.462)", "SCALE_PARAM(9, thickness, 1.475)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_314", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.235)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(12, thickness, 1.214)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_315", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(10, thickness, 1.200)", "SCALE_PARAM(0, thickness, 1.370)", "SCALE_PARAM(5, thickness, 1.605)", "SCALE_PARAM(10, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_316", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.326)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004375)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.003830)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.183)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_317", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(9, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(all_members, thickness, 1.326)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_318", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003615)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007247)", "SCALE_PARAM(6, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.124)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_319", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(1, thickness, 1.515)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_320", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_321", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004599)", "SCALE_PARAM(all_members, thickness, 1.192)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005613)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_322", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005730)", "SCALE_PARAM(5, thickness, 1.443)", "SCALE_PARAM(all_members, thickness, 1.178)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_323", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003087)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.151)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_324", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.214)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005513)", "SCALE_PARAM(11, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_325", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_326", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(7, thickness, 1.475)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005127)", "SCALE_PARAM(1, thickness, 1.280)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005419)", "SCALE_PARAM(all_members, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_327", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003932)", "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006154)", "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "SCALE_PARAM(11, thickness, 1.261)", "SCALE_PARAM(10, thickness, 1.527)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_328", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004864)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.130)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_329", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_330", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.475)", "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(3, thickness, 1.198)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_331", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.190)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002695)", "SCALE_PARAM(7, thickness, 1.522)", "SCALE_PARAM(12, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_332", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007004)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005838)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005802)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(3, thickness, 1.634)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_333", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004061)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.220)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "SCALE_PARAM(0, thickness, 1.441)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_334", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.506)", "SCALE_PARAM(8, thickness, 1.464)", "SCALE_PARAM(2, thickness, 1.209)", "SCALE_PARAM(10, thickness, 1.667)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(7, thickness, 1.208)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_335", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003721)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(all_members, thickness, 1.206)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "SCALE_PARAM(12, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_336", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005476)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004896)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005175)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.236)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_337", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.385)", "SCALE_PARAM(7, thickness, 1.368)", "SCALE_PARAM(0, thickness, 1.637)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_338", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(14, thickness, 1.256)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_339", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(15, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(7, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_340", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(5, thickness, 1.198)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.002577)", "SCALE_PARAM(4, thickness, 1.366)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(4, thickness, 1.541)", "SCALE_PARAM(all_members, thickness, 1.136)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_341", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(10, thickness, 1.473)", "SCALE_PARAM(6, thickness, 1.653)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_342", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.613)", "SCALE_PARAM(10, thickness, 1.567)", "SCALE_PARAM(2, thickness, 1.661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_343", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.541)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "SCALE_PARAM(8, thickness, 1.493)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_344", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.353)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005156)", "SCALE_PARAM(13, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_345", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.550)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(0, thickness, 1.319)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_346", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.248)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005186)", "SCALE_PARAM(5, thickness, 1.439)", "SCALE_PARAM(5, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.272)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_347", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "SCALE_PARAM(7, thickness, 1.495)", "SCALE_PARAM(10, thickness, 1.456)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_348", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(13, thickness, 1.499)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_349", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004579)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005527)", "SCALE_PARAM(all_members, thickness, 1.294)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005957)", "SCALE_PARAM(3, thickness, 1.447)", "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_350", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.647)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "SCALE_PARAM(2, thickness, 1.592)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "SCALE_PARAM(8, thickness, 1.361)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_351", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.208)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007145)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_352", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(14, thickness, 1.504)", "SCALE_PARAM(8, thickness, 1.585)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_353", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.156)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(2, thickness, 1.477)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_354", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(10, thickness, 1.256)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_355", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004301)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(all_members, thickness, 1.314)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005355)", "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_356", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(11, thickness, 1.357)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005812)", "SCALE_PARAM(8, thickness, 1.541)", "SCALE_PARAM(all_members, thickness, 1.160)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_357", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(1, thickness, 1.232)", "SCALE_PARAM(7, thickness, 1.592)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(8, thickness, 1.590)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_358", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.572)", "SCALE_PARAM(0, thickness, 1.362)", "SCALE_PARAM(6, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_359", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006082)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(5, thickness, 1.484)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(4, thickness, 1.339)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_360", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.314)", "SCALE_PARAM(4, thickness, 1.335)", "SCALE_PARAM(3, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_361", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(1, thickness, 1.279)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "SCALE_PARAM(7, thickness, 1.502)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_362", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.001960)", "SCALE_PARAM(6, thickness, 1.325)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001365)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(5, thickness, 1.236)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005816)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_363", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002954)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.004935)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(10, thickness, 1.208)", "SCALE_PARAM(14, thickness, 1.229)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_364", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(8, thickness, 1.285)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005969)", "SCALE_PARAM(11, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(10, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_365", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.233)", "SCALE_PARAM(4, thickness, 1.449)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_366", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "SCALE_PARAM(11, thickness, 1.364)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001764)", "SCALE_PARAM(8, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_367", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "SCALE_PARAM(3, thickness, 1.541)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_368", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.376)", "SCALE_PARAM(5, thickness, 1.383)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004554)", "SCALE_PARAM(5, thickness, 1.420)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.175)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_369", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "SCALE_PARAM(5, thickness, 1.587)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "SCALE_PARAM(9, thickness, 1.435)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_370", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.225)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004221)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(all_members, thickness, 1.326)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_371", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.178)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "SCALE_PARAM(9, thickness, 1.597)", "SCALE_PARAM(4, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_372", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001531)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005832)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005834)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_373", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(3, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_374", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.548)", "SCALE_PARAM(all_members, thickness, 1.122)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "SCALE_PARAM(10, thickness, 1.220)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_375", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(15, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(9, thickness, 1.366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_376", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001358)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004190)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(13, thickness, 1.490)", "SCALE_PARAM(all_members, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_377", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.541)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004445)", "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007108)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001866)", "SCALE_PARAM(all_members, thickness, 1.145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_378", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005398)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.003999)", "SCALE_PARAM(6, thickness, 1.188)", "SCALE_PARAM(4, thickness, 1.541)", "SCALE_PARAM(all_members, thickness, 1.321)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_379", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(6, thickness, 1.238)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001914)", "SCALE_PARAM(13, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.116)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_380", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003493)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001605)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(13, thickness, 1.458)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_381", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005393)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003248)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_382", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.311)", "SCALE_PARAM(11, thickness, 1.224)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_383", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003634)", "SCALE_PARAM(all_members, thickness, 1.214)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005762)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_384", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.297)", "SCALE_PARAM(7, thickness, 1.376)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(5, thickness, 1.224)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_385", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_386", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "SCALE_PARAM(1, thickness, 1.582)", "SCALE_PARAM(8, thickness, 1.488)", "SCALE_PARAM(6, thickness, 1.597)", "SCALE_PARAM(10, thickness, 1.529)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_387", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.209)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "SCALE_PARAM(4, thickness, 1.595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_388", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001698)", "SCALE_PARAM(0, thickness, 1.534)", "SCALE_PARAM(6, thickness, 1.590)", "SCALE_PARAM(14, thickness, 1.605)", "SCALE_PARAM(all_members, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_389", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.276)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004995)", "SCALE_PARAM(all_members, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_390", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.266)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005658)", "SCALE_PARAM(all_members, thickness, 1.199)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_391", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.004549)", "SCALE_PARAM(4, thickness, 1.368)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.287)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "SCALE_PARAM(6, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_392", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007229)", "SCALE_PARAM(1, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_393", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006511)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(3, thickness, 1.222)", "SCALE_PARAM(2, thickness, 1.420)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_394", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.206)", "SCALE_PARAM(15, thickness, 1.631)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(0, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_395", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.203)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005425)", "SCALE_PARAM(0, thickness, 1.524)", "SCALE_PARAM(12, thickness, 1.493)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_396", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_397", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.264)", "SCALE_PARAM(8, thickness, 1.221)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "SCALE_PARAM(8, thickness, 1.189)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_398", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.175)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_399", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.114)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006441)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_400", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(14, thickness, 1.350)", "SCALE_PARAM(0, thickness, 1.529)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_401", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006503)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006146)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_402", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.244)", "SCALE_PARAM(6, thickness, 1.311)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005980)", "SCALE_PARAM(all_members, thickness, 1.135)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_403", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(2, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.126)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.007163)", "SCALE_PARAM(all_members, thickness, 1.138)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_404", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004029)", "SCALE_PARAM(8, thickness, 1.527)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.005263)", "SCALE_PARAM(all_members, thickness, 1.220)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005029)", "SCALE_PARAM(all_members, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_405", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "SCALE_PARAM(4, thickness, 1.326)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_406", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.451)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_407", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(7, thickness, 1.381)", "SCALE_PARAM(10, thickness, 1.484)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_408", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_409", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001646)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005194)", "SCALE_PARAM(11, thickness, 1.346)", "SCALE_PARAM(all_members, thickness, 1.299)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "SCALE_PARAM(7, thickness, 1.279)", "SCALE_PARAM(6, thickness, 1.418)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_410", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.222)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004299)", "SCALE_PARAM(7, thickness, 1.391)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "SCALE_PARAM(5, thickness, 1.449)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_411", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.425)", "SCALE_PARAM(0, thickness, 1.377)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_412", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.647)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(12, thickness, 1.269)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "SCALE_PARAM(14, thickness, 1.499)", "SCALE_PARAM(5, thickness, 1.592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_413", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.003460)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003335)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "SCALE_PARAM(12, thickness, 1.274)", "SCALE_PARAM(15, thickness, 1.600)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_414", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001726)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006092)", "SCALE_PARAM(all_members, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_415", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(7, thickness, 1.190)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003517)", "SCALE_PARAM(all_members, thickness, 1.155)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_416", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.002520)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005713)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(4, thickness, 1.427)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_417", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005995)", "SCALE_PARAM(11, thickness, 1.414)", "SCALE_PARAM(0, thickness, 1.471)", "SCALE_PARAM(14, thickness, 1.592)", "SCALE_PARAM(all_members, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_418", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.368)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005402)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006520)", "SCALE_PARAM(2, thickness, 1.565)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005435)", "SCALE_PARAM(all_members, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_419", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.006435)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "SCALE_PARAM(4, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_420", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(8, thickness, 1.366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_421", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(15, thickness, 1.359)", "SCALE_PARAM(13, thickness, 1.370)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(7, thickness, 1.368)", "SCALE_PARAM(5, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_422", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.488)", "SCALE_PARAM(8, thickness, 1.238)", "SCALE_PARAM(12, thickness, 1.357)", "SCALE_PARAM(all_members, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_423", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "SCALE_PARAM(2, thickness, 1.517)", "SCALE_PARAM(7, thickness, 1.351)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_424", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(5, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(7, thickness, 1.274)", "SCALE_PARAM(15, thickness, 1.309)", "SCALE_PARAM(3, thickness, 1.190)", "SCALE_PARAM(3, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_425", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.300)", "SCALE_PARAM(7, thickness, 1.621)", "SCALE_PARAM(13, thickness, 1.359)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_426", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.425)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(0, thickness, 1.337)", "SCALE_PARAM(3, thickness, 1.658)", "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(13, thickness, 1.393)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_427", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(2, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(4, thickness, 1.328)", "SCALE_PARAM(10, thickness, 1.437)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_428", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(15, thickness, 1.647)", "SCALE_PARAM(14, thickness, 1.422)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_429", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(13, thickness, 1.328)", "SCALE_PARAM(9, thickness, 1.185)", "SCALE_PARAM(2, thickness, 1.196)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006812)", "SCALE_PARAM(all_members, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_430", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(10, thickness, 1.587)", "SCALE_PARAM(14, thickness, 1.531)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(0, thickness, 1.629)", "SCALE_PARAM(2, thickness, 1.292)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_431", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(2, thickness, 1.214)", "SCALE_PARAM(1, thickness, 1.520)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_432", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.178)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005520)", "SCALE_PARAM(all_members, thickness, 1.230)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_433", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003240)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003427)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(3, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_434", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001064)", "SCALE_PARAM(all_members, thickness, 1.121)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003480)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.151)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_435", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.220)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "SCALE_PARAM(7, thickness, 1.333)", "SCALE_PARAM(14, thickness, 1.229)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_436", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(2, thickness, 1.239)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002595)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_437", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.439)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(8, thickness, 1.420)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006827)", "SCALE_PARAM(5, thickness, 1.527)", "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_438", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001794)", "SCALE_PARAM(11, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_439", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.370)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.005007)", "SCALE_PARAM(0, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_440", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.333)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005631)", "SCALE_PARAM(all_members, thickness, 1.134)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_441", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.179)", "SCALE_PARAM(10, thickness, 1.517)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004980)", "SCALE_PARAM(0, thickness, 1.534)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.005697)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_442", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.239)", "SCALE_PARAM(4, thickness, 1.511)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004449)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005235)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_443", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001150)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.003548)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(6, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.163)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_444", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.232)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "SCALE_PARAM(1, thickness, 1.401)", "SCALE_PARAM(9, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_445", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(6, thickness, 1.368)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007047)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(2, thickness, 1.274)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_446", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.220)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003048)", "SCALE_PARAM(all_members, thickness, 1.333)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_447", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.004068)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_448", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004946)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005065)", "SCALE_PARAM(all_members, thickness, 1.261)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(3, thickness, 1.412)", "SCALE_PARAM(2, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_449", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.005925)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005572)", "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_450", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(3, thickness, 1.397)", "SCALE_PARAM(14, thickness, 1.307)", "SCALE_PARAM(15, thickness, 1.418)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_451", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.567)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(3, thickness, 1.372)", "SCALE_PARAM(all_members, thickness, 1.145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_452", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.182)", "SCALE_PARAM(11, thickness, 1.577)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.004912)", "SCALE_PARAM(8, thickness, 1.468)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "SCALE_PARAM(15, thickness, 1.374)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_453", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004917)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004802)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001646)", "SCALE_PARAM(all_members, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_454", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(4, thickness, 1.244)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006838)", "SCALE_PARAM(all_members, thickness, 1.192)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_455", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.179)", "SCALE_PARAM(10, thickness, 1.658)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_456", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.319)", "SCALE_PARAM(10, thickness, 1.272)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "SCALE_PARAM(3, thickness, 1.504)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_457", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.316)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006259)", "SCALE_PARAM(all_members, thickness, 1.139)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_458", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001366)", "SCALE_PARAM(9, thickness, 1.508)", "SCALE_PARAM(all_members, thickness, 1.239)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005220)", "SCALE_PARAM(all_members, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_459", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.005045)", "SCALE_PARAM(1, thickness, 1.393)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(11, thickness, 1.524)", "SCALE_PARAM(3, thickness, 1.475)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_460", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(4, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_461", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.126)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.007264)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001907)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006018)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(10, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_462", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.543)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.004222)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "SCALE_PARAM(11, thickness, 1.513)", "SCALE_PARAM(7, thickness, 1.391)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_463", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.603)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005838)", "SCALE_PARAM(all_members, thickness, 1.156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_464", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.634)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(11, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.214)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_465", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.585)", "SCALE_PARAM(3, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.136)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.006595)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_466", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.003986)", "SCALE_PARAM(3, thickness, 1.290)", "SCALE_PARAM(3, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.224)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_467", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006112)", "SCALE_PARAM(12, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.235)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_468", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(2, thickness, 1.445)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_469", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(5, thickness, 1.350)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_470", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004287)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(4, thickness, 1.232)", "SCALE_PARAM(6, thickness, 1.603)", "SCALE_PARAM(all_members, thickness, 1.300)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_471", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.437)", "SCALE_PARAM(8, thickness, 1.326)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "SCALE_PARAM(10, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_472", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(13, thickness, 1.393)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_473", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.208)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004003)", "SCALE_PARAM(14, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_474", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.005706)", "SCALE_PARAM(2, thickness, 1.312)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006170)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(12, thickness, 1.425)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_475", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.003474)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(12, thickness, 1.328)", "SCALE_PARAM(8, thickness, 1.410)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.144)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_476", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.536)", "SCALE_PARAM(2, thickness, 1.555)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_477", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004202)", "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004445)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005490)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_478", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.290)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003725)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.148)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005518)", "SCALE_PARAM(all_members, thickness, 1.222)", "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_479", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006045)", "SCALE_PARAM(all_members, thickness, 1.179)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_480", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.000976)", "SCALE_PARAM(2, thickness, 1.626)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.003720)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.209)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_481", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.004515)", "SCALE_PARAM(9, thickness, 1.618)", "SCALE_PARAM(7, thickness, 1.206)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.006393)", "SCALE_PARAM(all_members, thickness, 1.115)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_482", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(3, thickness, 1.488)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_483", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.471)", "SCALE_PARAM(7, thickness, 1.359)", "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.008145)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_484", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.007545)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_485", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.238)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.006234)", "SCALE_PARAM(0, thickness, 1.410)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_486", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, 6061_T6_Aluminum, Pipe, 0.038301, 0.006384)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.004063)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_487", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.003118)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(9, thickness, 1.318)", "SCALE_PARAM(4, thickness, 1.355)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_488", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.460)", "SCALE_PARAM(15, thickness, 1.337)", "SCALE_PARAM(0, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(2, thickness, 1.631)", "SCALE_PARAM(all_members, thickness, 1.229)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_489", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "SCALE_PARAM(10, thickness, 1.631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_490", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.603)", "SCALE_PARAM(all_members, thickness, 1.235)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "SCALE_PARAM(9, thickness, 1.425)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_491", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.006788)", "SCALE_PARAM(4, thickness, 1.225)", "SCALE_PARAM(6, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_492", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.004398)", "SCALE_PARAM(all_members, thickness, 1.117)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.001685)", "SCALE_PARAM(3, thickness, 1.218)", "SCALE_PARAM(0, thickness, 1.524)", "SCALE_PARAM(all_members, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_493", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(6, 7, 6061_T6_Aluminum, Pipe, 0.037404, 0.005395)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(13, thickness, 1.271)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.008143)", "SCALE_PARAM(0, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_494", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.006955)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(0, thickness, 1.437)", "ADD_MEMBER(4, 5, 6061_T6_Aluminum, Pipe, 0.042785, 0.007131)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_495", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(9, thickness, 1.435)", "ADD_MEMBER(2, 5, 6061_T6_Aluminum, Pipe, 0.040727, 0.003933)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(13, thickness, 1.490)", "SCALE_PARAM(9, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_496", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(7, thickness, 1.321)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002949)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(9, thickness, 1.297)", "SCALE_PARAM(10, thickness, 1.475)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_497", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(5, 6, 6061_T6_Aluminum, Pipe, 0.048856, 0.004489)", "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(11, thickness, 1.575)", "SCALE_PARAM(4, thickness, 1.372)", "SCALE_PARAM(1, thickness, 1.403)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_498", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, 6061_T6_Aluminum, Pipe, 0.039569, 0.004186)", "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(13, thickness, 1.309)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.006746)", "ADD_MEMBER(2, 6, 6061_T6_Aluminum, Pipe, 0.012823, 0.002137)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_095", "trace_id": "auto_problem_095_trace_499", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 95)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(4.06, 0.00) [free]\n J2: pos=(8.12, 0.00) [free]\n J3: pos=(12.18, 0.00) [roller]\n J4: pos=(0.00, 1.65) [free]\n J5: pos=(4.06, 1.65) [free]\n J6: pos=(8.12, 1.65) [free]\n J7: pos=(12.18, 1.65) [free]\n\nMembers (16 total):\n M0: J0-J1 [6061_T6_Aluminum, Pipe(r=0.0462, t=0.0035)]\n M1: J1-J2 [6061_T6_Aluminum, Pipe(r=0.0498, t=0.0025)]\n M2: J2-J3 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M3: J4-J5 [6061_T6_Aluminum, Pipe(r=0.0428, t=0.0020)]\n M4: J5-J6 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M5: J6-J7 [6061_T6_Aluminum, Pipe(r=0.0374, t=0.0028)]\n M6: J0-J4 [6061_T6_Aluminum, Pipe(r=0.0223, t=0.0017)]\n M7: J1-J5 [6061_T6_Aluminum, Pipe(r=0.0244, t=0.0019)]\n M8: J2-J6 [6061_T6_Aluminum, Pipe(r=0.0128, t=0.0010)]\n M9: J3-J7 [6061_T6_Aluminum, Pipe(r=0.0196, t=0.0015)]\n M10: J0-J5 [6061_T6_Aluminum, Pipe(r=0.0489, t=0.0037)]\n M11: J1-J4 [6061_T6_Aluminum, Pipe(r=0.0453, t=0.0034)]\n M12: J1-J6 [6061_T6_Aluminum, Pipe(r=0.0383, t=0.0029)]\n M13: J2-J5 [6061_T6_Aluminum, Pipe(r=0.0407, t=0.0031)]\n M14: J2-J7 [6061_T6_Aluminum, Pipe(r=0.0396, t=0.0030)]\n M15: J3-J6 [6061_T6_Aluminum, Pipe(r=0.0405, t=0.0031)]\n\nLOADING:\n Joint J5: Force=(0, -49488, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 277.72 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 208.43681464806184, "fos_buckling": 0.8473006336234902, "fos_yielding": 6.180916354143597, "deflection": 0.016519933179537233, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, 6061_T6_Aluminum, Pipe, 0.048871, 0.005900)", "ADD_MEMBER(1, 5, 6061_T6_Aluminum, Pipe, 0.024380, 0.002943)", "SCALE_PARAM(all_members, thickness, 1.192)", "ADD_MEMBER(3, 6, 6061_T6_Aluminum, Pipe, 0.040475, 0.005826)", "ADD_MEMBER(1, 4, 6061_T6_Aluminum, Pipe, 0.045268, 0.006516)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(5, thickness, 1.183)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_0", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002611)", "SCALE_PARAM(14, thickness, 1.534)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "SCALE_PARAM(5, thickness, 1.621)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_1", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002784)", "SCALE_PARAM(2, thickness, 1.429)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(9, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.126)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_2", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "SCALE_PARAM(17, thickness, 1.238)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002417)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003377)", "SCALE_PARAM(4, thickness, 1.267)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "SCALE_PARAM(17, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_3", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.192)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003204)", "SCALE_PARAM(10, thickness, 1.344)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002002)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003058)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_4", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(18, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_5", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(11, thickness, 1.517)", "SCALE_PARAM(19, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_6", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(16, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_7", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "SCALE_PARAM(16, thickness, 1.664)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_8", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002988)", "SCALE_PARAM(9, thickness, 1.225)", "SCALE_PARAM(8, thickness, 1.267)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "SCALE_PARAM(0, thickness, 1.618)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_9", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.645)", "SCALE_PARAM(all_members, thickness, 1.206)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003208)", "SCALE_PARAM(all_members, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_10", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(19, thickness, 1.524)", "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002561)", "SCALE_PARAM(all_members, thickness, 1.160)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_11", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002855)", "SCALE_PARAM(16, thickness, 1.256)", "SCALE_PARAM(16, thickness, 1.481)", "SCALE_PARAM(14, thickness, 1.634)", "SCALE_PARAM(all_members, thickness, 1.136)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_12", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "SCALE_PARAM(10, thickness, 1.181)", "SCALE_PARAM(1, thickness, 1.202)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_13", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002557)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002544)", "SCALE_PARAM(all_members, thickness, 1.168)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_14", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.664)", "SCALE_PARAM(9, thickness, 1.572)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002740)", "SCALE_PARAM(all_members, thickness, 1.214)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003758)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(all_members, thickness, 1.126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_15", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_16", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_17", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001982)", "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003436)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004116)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003128)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004087)", "SCALE_PARAM(all_members, thickness, 1.171)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_18", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.416)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003589)", "SCALE_PARAM(all_members, thickness, 1.235)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_19", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(19, thickness, 1.290)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_20", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003460)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(2, thickness, 1.410)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "SCALE_PARAM(11, thickness, 1.185)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_21", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003821)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002428)", "SCALE_PARAM(10, thickness, 1.511)", "SCALE_PARAM(all_members, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_22", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(18, thickness, 1.305)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_23", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(16, thickness, 1.395)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_24", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(0, thickness, 1.667)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_25", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(19, thickness, 1.577)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002181)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_26", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.247)", "SCALE_PARAM(13, thickness, 1.536)", "SCALE_PARAM(all_members, thickness, 1.300)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "SCALE_PARAM(11, thickness, 1.527)", "SCALE_PARAM(1, thickness, 1.567)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_27", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003502)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(2, thickness, 1.420)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_28", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(15, thickness, 1.364)", "SCALE_PARAM(7, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_29", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.307)", "SCALE_PARAM(1, thickness, 1.575)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002362)", "SCALE_PARAM(all_members, thickness, 1.134)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_30", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002492)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(all_members, thickness, 1.117)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "SCALE_PARAM(13, thickness, 1.497)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_31", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(0, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(6, thickness, 1.600)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_32", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.376)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002415)", "SCALE_PARAM(all_members, thickness, 1.232)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_33", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.377)", "SCALE_PARAM(19, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.176)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "SCALE_PARAM(3, thickness, 1.192)", "SCALE_PARAM(3, thickness, 1.412)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_34", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.376)", "SCALE_PARAM(2, thickness, 1.182)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_35", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003874)", "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_36", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(0, thickness, 1.466)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_37", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.220)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_38", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.214)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002617)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(10, thickness, 1.321)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_39", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.517)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001255)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.269)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "SCALE_PARAM(6, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_40", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(16, thickness, 1.650)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_41", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.353)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004001)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002605)", "SCALE_PARAM(13, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(17, thickness, 1.229)", "SCALE_PARAM(13, thickness, 1.629)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_42", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_43", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(4, thickness, 1.330)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002840)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_44", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002857)", "SCALE_PARAM(all_members, thickness, 1.115)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002807)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(10, thickness, 1.195)", "SCALE_PARAM(7, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_45", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.176)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "SCALE_PARAM(9, thickness, 1.348)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_46", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002832)", "SCALE_PARAM(all_members, thickness, 1.263)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002643)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(3, thickness, 1.458)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_47", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(5, thickness, 1.479)", "SCALE_PARAM(6, thickness, 1.488)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_48", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(7, thickness, 1.458)", "SCALE_PARAM(all_members, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_49", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.111)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "SCALE_PARAM(14, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_50", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005262)", "SCALE_PARAM(all_members, thickness, 1.122)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_51", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(19, thickness, 1.311)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "SCALE_PARAM(7, thickness, 1.511)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_52", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.447)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "SCALE_PARAM(4, thickness, 1.422)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_53", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(2, thickness, 1.351)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_54", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.205)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001624)", "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002856)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(all_members, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_55", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(15, thickness, 1.333)", "SCALE_PARAM(5, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_56", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001840)", "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003195)", "SCALE_PARAM(all_members, thickness, 1.259)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_57", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.126)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003790)", "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(13, thickness, 1.379)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_58", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "SCALE_PARAM(0, thickness, 1.294)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "SCALE_PARAM(2, thickness, 1.397)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_59", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "SCALE_PARAM(2, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_60", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001670)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003999)", "SCALE_PARAM(4, thickness, 1.605)", "SCALE_PARAM(all_members, thickness, 1.142)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_61", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.269)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_62", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001479)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.217)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003637)", "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(0, thickness, 1.425)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_63", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "SCALE_PARAM(14, thickness, 1.610)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_64", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003891)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004008)", "SCALE_PARAM(all_members, thickness, 1.139)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_65", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.259)", "SCALE_PARAM(4, thickness, 1.264)", "SCALE_PARAM(8, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_66", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.272)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003307)", "SCALE_PARAM(all_members, thickness, 1.172)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_67", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003738)", "SCALE_PARAM(all_members, thickness, 1.221)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002058)", "SCALE_PARAM(11, thickness, 1.451)", "SCALE_PARAM(12, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_68", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002594)", "SCALE_PARAM(16, thickness, 1.183)", "SCALE_PARAM(20, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(18, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_69", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003542)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(5, thickness, 1.414)", "SCALE_PARAM(all_members, thickness, 1.125)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "SCALE_PARAM(10, thickness, 1.215)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_70", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(16, thickness, 1.416)", "SCALE_PARAM(4, thickness, 1.410)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_71", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(18, thickness, 1.337)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002668)", "SCALE_PARAM(16, thickness, 1.364)", "SCALE_PARAM(all_members, thickness, 1.148)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_72", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003303)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_73", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.233)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003343)", "SCALE_PARAM(all_members, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_74", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(18, thickness, 1.385)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_75", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "SCALE_PARAM(20, thickness, 1.645)", "SCALE_PARAM(19, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_76", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004012)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002690)", "SCALE_PARAM(15, thickness, 1.610)", "SCALE_PARAM(20, thickness, 1.284)", "SCALE_PARAM(19, thickness, 1.422)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_77", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003293)", "SCALE_PARAM(9, thickness, 1.565)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(17, thickness, 1.271)", "SCALE_PARAM(6, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_78", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.466)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(3, thickness, 1.395)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(7, thickness, 1.311)", "SCALE_PARAM(17, thickness, 1.471)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_79", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.553)", "SCALE_PARAM(all_members, thickness, 1.272)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002307)", "SCALE_PARAM(14, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_80", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "SCALE_PARAM(5, thickness, 1.504)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_81", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002085)", "SCALE_PARAM(12, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_82", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002752)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(1, thickness, 1.300)", "SCALE_PARAM(8, thickness, 1.639)", "SCALE_PARAM(5, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.133)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_83", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003762)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(7, thickness, 1.538)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "SCALE_PARAM(4, thickness, 1.366)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_84", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(5, thickness, 1.337)", "SCALE_PARAM(20, thickness, 1.464)", "SCALE_PARAM(all_members, thickness, 1.149)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_85", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.453)", "SCALE_PARAM(0, thickness, 1.577)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001989)", "SCALE_PARAM(all_members, thickness, 1.318)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002291)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(8, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_86", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(1, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.287)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_87", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.215)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003439)", "SCALE_PARAM(all_members, thickness, 1.230)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_88", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_89", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.323)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "SCALE_PARAM(1, thickness, 1.218)", "SCALE_PARAM(18, thickness, 1.299)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_90", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.553)", "SCALE_PARAM(12, thickness, 1.445)", "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_91", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.506)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002570)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_92", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002471)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004768)", "SCALE_PARAM(all_members, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_93", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002518)", "SCALE_PARAM(11, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_94", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.172)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_95", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.002992)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003669)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_96", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.493)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_97", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(11, thickness, 1.287)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003335)", "SCALE_PARAM(19, thickness, 1.486)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(17, thickness, 1.307)", "SCALE_PARAM(11, thickness, 1.379)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_98", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.121)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "SCALE_PARAM(17, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_99", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.307)", "SCALE_PARAM(19, thickness, 1.531)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_100", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(13, thickness, 1.447)", "SCALE_PARAM(11, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_101", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003256)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(3, thickness, 1.639)", "SCALE_PARAM(14, thickness, 1.667)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_102", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.276)", "SCALE_PARAM(0, thickness, 1.575)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "SCALE_PARAM(6, thickness, 1.439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_103", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.001923)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001978)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(all_members, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_104", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002916)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002452)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_105", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(13, thickness, 1.357)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_106", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002630)", "SCALE_PARAM(11, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.235)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_107", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002272)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(7, thickness, 1.453)", "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_108", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.462)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002905)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003796)", "SCALE_PARAM(all_members, thickness, 1.116)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003562)", "SCALE_PARAM(11, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.129)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_109", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002662)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_110", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.376)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003217)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003072)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003472)", "SCALE_PARAM(all_members, thickness, 1.157)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003727)", "SCALE_PARAM(all_members, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_111", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.122)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "SCALE_PARAM(14, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_112", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(12, thickness, 1.179)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(11, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_113", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001864)", "SCALE_PARAM(11, thickness, 1.590)", "SCALE_PARAM(5, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(all_members, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_114", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002495)", "SCALE_PARAM(all_members, thickness, 1.198)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_115", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.261)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001806)", "SCALE_PARAM(4, thickness, 1.427)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(20, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_116", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.517)", "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(6, thickness, 1.248)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_117", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003049)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(14, thickness, 1.245)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_118", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(15, thickness, 1.634)", "SCALE_PARAM(all_members, thickness, 1.218)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_119", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.395)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "SCALE_PARAM(9, thickness, 1.404)", "SCALE_PARAM(15, thickness, 1.391)", "SCALE_PARAM(2, thickness, 1.597)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_120", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_121", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001838)", "SCALE_PARAM(all_members, thickness, 1.212)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002762)", "SCALE_PARAM(17, thickness, 1.538)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(14, thickness, 1.587)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_122", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003533)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(15, thickness, 1.504)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "SCALE_PARAM(9, thickness, 1.319)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_123", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(10, thickness, 1.350)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_124", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.355)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(7, thickness, 1.451)", "SCALE_PARAM(16, thickness, 1.188)", "SCALE_PARAM(0, thickness, 1.199)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_125", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003749)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003454)", "SCALE_PARAM(all_members, thickness, 1.285)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_126", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002117)", "SCALE_PARAM(9, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_127", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002996)", "SCALE_PARAM(15, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_128", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002376)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002881)", "SCALE_PARAM(15, thickness, 1.499)", "SCALE_PARAM(all_members, thickness, 1.126)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_129", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(15, thickness, 1.658)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_130", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(16, thickness, 1.486)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002351)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(14, thickness, 1.370)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(2, thickness, 1.658)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_131", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(0, thickness, 1.357)", "SCALE_PARAM(all_members, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_132", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.305)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003007)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_133", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(5, thickness, 1.200)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002570)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003351)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(8, thickness, 1.346)", "SCALE_PARAM(14, thickness, 1.441)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_134", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(4, thickness, 1.495)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.149)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_135", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.279)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_136", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002276)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(9, thickness, 1.269)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002447)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003543)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_137", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003907)", "SCALE_PARAM(11, thickness, 1.610)", "SCALE_PARAM(4, thickness, 1.299)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002543)", "SCALE_PARAM(all_members, thickness, 1.168)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_138", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(6, thickness, 1.603)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002540)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_139", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "SCALE_PARAM(13, thickness, 1.368)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_140", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.418)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "SCALE_PARAM(8, thickness, 1.362)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_141", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "SCALE_PARAM(6, thickness, 1.326)", "SCALE_PARAM(12, thickness, 1.199)", "SCALE_PARAM(14, thickness, 1.295)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "SCALE_PARAM(3, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_142", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003733)", "SCALE_PARAM(6, thickness, 1.233)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003624)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003939)", "SCALE_PARAM(1, thickness, 1.429)", "SCALE_PARAM(all_members, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_143", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002231)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(2, thickness, 1.188)", "SCALE_PARAM(6, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_144", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.248)", "SCALE_PARAM(9, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(20, thickness, 1.366)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(18, thickness, 1.595)", "SCALE_PARAM(13, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_145", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001891)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(all_members, thickness, 1.225)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003650)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_146", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.143)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "SCALE_PARAM(13, thickness, 1.271)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_147", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.181)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "SCALE_PARAM(0, thickness, 1.431)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_148", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003701)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001724)", "SCALE_PARAM(7, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(10, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_149", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "SCALE_PARAM(13, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_150", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_151", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.468)", "SCALE_PARAM(11, thickness, 1.481)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003599)", "SCALE_PARAM(18, thickness, 1.346)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002579)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_152", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(19, thickness, 1.468)", "SCALE_PARAM(6, thickness, 1.208)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_153", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003755)", "SCALE_PARAM(16, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_154", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.156)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003530)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(2, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_155", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002034)", "SCALE_PARAM(6, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003954)", "SCALE_PARAM(all_members, thickness, 1.155)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_156", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(11, thickness, 1.504)", "SCALE_PARAM(20, thickness, 1.264)", "SCALE_PARAM(8, thickness, 1.608)", "SCALE_PARAM(2, thickness, 1.379)", "SCALE_PARAM(all_members, thickness, 1.121)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_157", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004283)", "SCALE_PARAM(all_members, thickness, 1.117)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_158", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003095)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(9, thickness, 1.473)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "SCALE_PARAM(7, thickness, 1.285)", "SCALE_PARAM(6, thickness, 1.236)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_159", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(16, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003594)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "SCALE_PARAM(13, thickness, 1.645)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_160", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "SCALE_PARAM(2, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_161", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002259)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(19, thickness, 1.508)", "SCALE_PARAM(14, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_162", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002986)", "SCALE_PARAM(all_members, thickness, 1.297)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_163", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003593)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004274)", "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_164", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_165", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(5, thickness, 1.366)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_166", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.304)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "SCALE_PARAM(18, thickness, 1.359)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_167", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.252)", "SCALE_PARAM(18, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.218)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_168", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.199)", "SCALE_PARAM(19, thickness, 1.435)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003355)", "SCALE_PARAM(all_members, thickness, 1.199)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_169", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.439)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003924)", "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "SCALE_PARAM(19, thickness, 1.256)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_170", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.562)", "SCALE_PARAM(all_members, thickness, 1.247)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_171", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002036)", "SCALE_PARAM(12, thickness, 1.629)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003638)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_172", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(1, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(17, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(8, thickness, 1.295)", "SCALE_PARAM(14, thickness, 1.464)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_173", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003645)", "SCALE_PARAM(9, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.242)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "SCALE_PARAM(20, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_174", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003547)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "SCALE_PARAM(20, thickness, 1.577)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_175", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.587)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(9, thickness, 1.418)", "SCALE_PARAM(all_members, thickness, 1.168)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_176", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.490)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001746)", "SCALE_PARAM(20, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(0, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_177", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002660)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_178", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(18, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.300)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003767)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_179", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "SCALE_PARAM(5, thickness, 1.381)", "SCALE_PARAM(3, thickness, 1.629)", "SCALE_PARAM(13, thickness, 1.433)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_180", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002273)", "SCALE_PARAM(13, thickness, 1.600)", "SCALE_PARAM(all_members, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_181", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003559)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002423)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(5, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.318)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_182", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001323)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.135)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003292)", "SCALE_PARAM(all_members, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_183", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "SCALE_PARAM(18, thickness, 1.451)", "SCALE_PARAM(15, thickness, 1.199)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_184", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(16, thickness, 1.182)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003189)", "SCALE_PARAM(all_members, thickness, 1.220)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003117)", "SCALE_PARAM(all_members, thickness, 1.175)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_185", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002212)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(11, thickness, 1.276)", "SCALE_PARAM(17, thickness, 1.359)", "SCALE_PARAM(all_members, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_186", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003354)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(15, thickness, 1.330)", "SCALE_PARAM(17, thickness, 1.605)", "SCALE_PARAM(2, thickness, 1.335)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002529)", "SCALE_PARAM(all_members, thickness, 1.175)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_187", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005034)", "SCALE_PARAM(9, thickness, 1.548)", "SCALE_PARAM(all_members, thickness, 1.174)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_188", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002498)", "SCALE_PARAM(12, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.225)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003503)", "SCALE_PARAM(all_members, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_189", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003794)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003094)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002523)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(10, thickness, 1.637)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_190", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "SCALE_PARAM(4, thickness, 1.203)", "SCALE_PARAM(3, thickness, 1.629)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_191", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.565)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002232)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003410)", "SCALE_PARAM(9, thickness, 1.451)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.134)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_192", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(3, thickness, 1.335)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "SCALE_PARAM(1, thickness, 1.309)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_193", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(19, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(14, thickness, 1.422)", "SCALE_PARAM(20, thickness, 1.597)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_194", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.235)", "SCALE_PARAM(5, thickness, 1.364)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "SCALE_PARAM(16, thickness, 1.330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_195", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(15, thickness, 1.493)", "SCALE_PARAM(14, thickness, 1.433)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003631)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002431)", "SCALE_PARAM(all_members, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_196", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002563)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(16, thickness, 1.529)", "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_197", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.488)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002621)", "SCALE_PARAM(all_members, thickness, 1.168)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "SCALE_PARAM(19, thickness, 1.585)", "SCALE_PARAM(16, thickness, 1.366)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_198", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "SCALE_PARAM(18, thickness, 1.377)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_199", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004249)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(11, thickness, 1.217)", "SCALE_PARAM(0, thickness, 1.351)", "SCALE_PARAM(7, thickness, 1.252)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_200", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(19, thickness, 1.515)", "SCALE_PARAM(7, thickness, 1.522)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001583)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.218)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_201", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.605)", "SCALE_PARAM(7, thickness, 1.387)", "SCALE_PARAM(2, thickness, 1.295)", "SCALE_PARAM(13, thickness, 1.439)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_202", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(18, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_203", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.002556)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004505)", "SCALE_PARAM(all_members, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_204", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(5, thickness, 1.344)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_205", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.616)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001555)", "SCALE_PARAM(all_members, thickness, 1.122)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001564)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002265)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.290)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_206", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003237)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(4, thickness, 1.520)", "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_207", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.001704)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(6, thickness, 1.314)", "SCALE_PARAM(17, thickness, 1.387)", "SCALE_PARAM(10, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_208", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.468)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001816)", "SCALE_PARAM(16, thickness, 1.490)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002729)", "SCALE_PARAM(all_members, thickness, 1.151)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002859)", "SCALE_PARAM(all_members, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_209", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(12, thickness, 1.520)", "SCALE_PARAM(4, thickness, 1.451)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_210", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002321)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004478)", "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001907)", "SCALE_PARAM(7, thickness, 1.560)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_211", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001563)", "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003794)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.289)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_212", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(4, thickness, 1.506)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_213", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.235)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003554)", "SCALE_PARAM(all_members, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_214", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003347)", "SCALE_PARAM(all_members, thickness, 1.326)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_215", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.198)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004612)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002321)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003140)", "SCALE_PARAM(11, thickness, 1.395)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003565)", "SCALE_PARAM(all_members, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_216", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.425)", "SCALE_PARAM(5, thickness, 1.209)", "SCALE_PARAM(10, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_217", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "SCALE_PARAM(18, thickness, 1.621)", "SCALE_PARAM(8, thickness, 1.531)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "SCALE_PARAM(13, thickness, 1.377)", "SCALE_PARAM(8, thickness, 1.656)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_218", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(2, thickness, 1.208)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002615)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(17, thickness, 1.567)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_219", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.458)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003666)", "SCALE_PARAM(12, thickness, 1.307)", "SCALE_PARAM(1, thickness, 1.302)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002607)", "SCALE_PARAM(19, thickness, 1.538)", "SCALE_PARAM(all_members, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_220", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(12, thickness, 1.279)", "SCALE_PARAM(9, thickness, 1.276)", "SCALE_PARAM(9, thickness, 1.468)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_221", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.429)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(14, thickness, 1.238)", "SCALE_PARAM(14, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(15, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_222", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002999)", "SCALE_PARAM(all_members, thickness, 1.220)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004730)", "SCALE_PARAM(20, thickness, 1.511)", "SCALE_PARAM(15, thickness, 1.350)", "SCALE_PARAM(all_members, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_223", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_224", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(6, thickness, 1.486)", "SCALE_PARAM(18, thickness, 1.650)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003491)", "SCALE_PARAM(all_members, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_225", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002542)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003515)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(17, thickness, 1.229)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_226", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002914)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(12, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_227", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.001858)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.129)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_228", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.370)", "SCALE_PARAM(19, thickness, 1.418)", "SCALE_PARAM(6, thickness, 1.340)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_229", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(2, thickness, 1.541)", "SCALE_PARAM(20, thickness, 1.664)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(12, thickness, 1.451)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_230", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(1, thickness, 1.222)", "SCALE_PARAM(17, thickness, 1.404)", "SCALE_PARAM(17, thickness, 1.362)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_231", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(16, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_232", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001799)", "SCALE_PARAM(6, thickness, 1.475)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003970)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(all_members, thickness, 1.333)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_233", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(15, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001911)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_234", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.555)", "SCALE_PARAM(20, thickness, 1.227)", "SCALE_PARAM(7, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_235", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.181)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005082)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002571)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003334)", "SCALE_PARAM(8, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.163)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_236", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.572)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(2, thickness, 1.464)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_237", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.233)", "SCALE_PARAM(16, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(11, thickness, 1.224)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_238", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002494)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(16, thickness, 1.379)", "SCALE_PARAM(12, thickness, 1.506)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_239", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.529)", "SCALE_PARAM(3, thickness, 1.493)", "SCALE_PARAM(11, thickness, 1.224)", "SCALE_PARAM(7, thickness, 1.548)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_240", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(2, thickness, 1.221)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_241", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.222)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003092)", "SCALE_PARAM(18, thickness, 1.225)", "SCALE_PARAM(0, thickness, 1.565)", "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_242", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002788)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.225)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "SCALE_PARAM(12, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_243", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.422)", "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_244", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(16, thickness, 1.458)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(16, thickness, 1.208)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_245", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(15, thickness, 1.531)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_246", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002035)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(9, thickness, 1.261)", "SCALE_PARAM(13, thickness, 1.497)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_247", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003693)", "SCALE_PARAM(9, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.236)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_248", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.295)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "SCALE_PARAM(10, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_249", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(0, thickness, 1.236)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003746)", "SCALE_PARAM(9, thickness, 1.613)", "SCALE_PARAM(all_members, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_250", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.357)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003235)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003706)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003533)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003919)", "SCALE_PARAM(13, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.198)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_251", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003677)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002692)", "SCALE_PARAM(all_members, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_252", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003057)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(14, thickness, 1.330)", "SCALE_PARAM(17, thickness, 1.224)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "SCALE_PARAM(8, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_253", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "SCALE_PARAM(10, thickness, 1.348)", "SCALE_PARAM(11, thickness, 1.230)", "SCALE_PARAM(19, thickness, 1.253)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "SCALE_PARAM(5, thickness, 1.580)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_254", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001705)", "SCALE_PARAM(6, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.259)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004742)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002458)", "SCALE_PARAM(9, thickness, 1.460)", "SCALE_PARAM(all_members, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_255", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.247)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003707)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(5, thickness, 1.383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_256", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.451)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002927)", "SCALE_PARAM(16, thickness, 1.370)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_257", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002357)", "SCALE_PARAM(7, thickness, 1.631)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003684)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_258", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.209)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "SCALE_PARAM(2, thickness, 1.225)", "SCALE_PARAM(5, thickness, 1.587)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_259", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(17, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_260", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004018)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002879)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003106)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(17, thickness, 1.610)", "SCALE_PARAM(17, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_261", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003985)", "SCALE_PARAM(2, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_262", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001938)", "SCALE_PARAM(5, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.171)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003479)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(13, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_263", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(8, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_264", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(16, thickness, 1.368)", "SCALE_PARAM(0, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_265", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(13, thickness, 1.399)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(18, thickness, 1.441)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_266", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(4, thickness, 1.348)", "SCALE_PARAM(6, thickness, 1.534)", "SCALE_PARAM(1, thickness, 1.212)", "SCALE_PARAM(1, thickness, 1.543)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_267", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.203)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "SCALE_PARAM(5, thickness, 1.242)", "SCALE_PARAM(13, thickness, 1.350)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_268", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.279)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005041)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003125)", "SCALE_PARAM(all_members, thickness, 1.172)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_269", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(0, thickness, 1.235)", "SCALE_PARAM(11, thickness, 1.280)", "SCALE_PARAM(2, thickness, 1.395)", "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_270", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003113)", "SCALE_PARAM(5, thickness, 1.200)", "SCALE_PARAM(14, thickness, 1.466)", "SCALE_PARAM(7, thickness, 1.408)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_271", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.486)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002955)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001785)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(9, thickness, 1.560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_272", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.348)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003374)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_273", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.302)", "SCALE_PARAM(7, thickness, 1.295)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "SCALE_PARAM(8, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_274", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001404)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(9, thickness, 1.522)", "SCALE_PARAM(all_members, thickness, 1.153)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_275", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002587)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001892)", "SCALE_PARAM(all_members, thickness, 1.245)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001943)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(3, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_276", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(15, thickness, 1.451)", "SCALE_PARAM(3, thickness, 1.183)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_277", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002912)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(19, thickness, 1.600)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "SCALE_PARAM(11, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_278", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003627)", "SCALE_PARAM(all_members, thickness, 1.224)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_279", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.580)", "SCALE_PARAM(12, thickness, 1.300)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_280", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "SCALE_PARAM(10, thickness, 1.661)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_281", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003813)", "SCALE_PARAM(12, thickness, 1.198)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_282", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002345)", "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_283", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.202)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003248)", "SCALE_PARAM(13, thickness, 1.361)", "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_284", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002130)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002913)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003162)", "SCALE_PARAM(6, thickness, 1.412)", "SCALE_PARAM(12, thickness, 1.587)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_285", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001561)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(20, thickness, 1.529)", "SCALE_PARAM(all_members, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_286", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002550)", "SCALE_PARAM(all_members, thickness, 1.272)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_287", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003744)", "SCALE_PARAM(5, thickness, 1.580)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001522)", "SCALE_PARAM(15, thickness, 1.443)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003635)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002510)", "SCALE_PARAM(all_members, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_288", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002223)", "SCALE_PARAM(17, thickness, 1.348)", "SCALE_PARAM(10, thickness, 1.418)", "SCALE_PARAM(all_members, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_289", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002943)", "SCALE_PARAM(17, thickness, 1.326)", "SCALE_PARAM(8, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_290", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(6, thickness, 1.466)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002895)", "SCALE_PARAM(all_members, thickness, 1.148)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002334)", "SCALE_PARAM(all_members, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_291", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.294)", "SCALE_PARAM(4, thickness, 1.328)", "SCALE_PARAM(15, thickness, 1.600)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(7, thickness, 1.595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_292", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(2, thickness, 1.570)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(1, thickness, 1.577)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_293", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(20, thickness, 1.316)", "SCALE_PARAM(18, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_294", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(19, thickness, 1.403)", "SCALE_PARAM(18, thickness, 1.263)", "SCALE_PARAM(10, thickness, 1.420)", "SCALE_PARAM(12, thickness, 1.348)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_295", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003764)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "SCALE_PARAM(19, thickness, 1.178)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_296", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(6, thickness, 1.312)", "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "SCALE_PARAM(16, thickness, 1.658)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_297", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.261)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "SCALE_PARAM(8, thickness, 1.550)", "SCALE_PARAM(17, thickness, 1.458)", "SCALE_PARAM(17, thickness, 1.209)", "SCALE_PARAM(12, thickness, 1.580)", "SCALE_PARAM(0, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_298", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002256)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002202)", "SCALE_PARAM(all_members, thickness, 1.152)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003416)", "SCALE_PARAM(all_members, thickness, 1.178)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_299", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002467)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(16, thickness, 1.401)", "SCALE_PARAM(13, thickness, 1.626)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003850)", "SCALE_PARAM(all_members, thickness, 1.242)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_300", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.647)", "SCALE_PARAM(all_members, thickness, 1.174)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "SCALE_PARAM(3, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_301", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "SCALE_PARAM(15, thickness, 1.412)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_302", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002438)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(0, thickness, 1.414)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_303", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(20, thickness, 1.555)", "SCALE_PARAM(3, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_304", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(16, thickness, 1.522)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(all_members, thickness, 1.124)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_305", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.294)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002387)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_306", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.266)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "SCALE_PARAM(17, thickness, 1.189)", "SCALE_PARAM(18, thickness, 1.318)", "SCALE_PARAM(0, thickness, 1.416)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_307", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.653)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "SCALE_PARAM(1, thickness, 1.359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_308", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(14, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_309", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.605)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(9, thickness, 1.229)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_310", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.209)", "SCALE_PARAM(7, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(10, thickness, 1.462)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_311", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.182)", "SCALE_PARAM(16, thickness, 1.385)", "SCALE_PARAM(12, thickness, 1.299)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_312", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(18, thickness, 1.497)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_313", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002317)", "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_314", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003094)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002386)", "SCALE_PARAM(15, thickness, 1.372)", "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_315", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002748)", "SCALE_PARAM(8, thickness, 1.580)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_316", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.391)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.114)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005071)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_317", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "SCALE_PARAM(16, thickness, 1.245)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "SCALE_PARAM(4, thickness, 1.311)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_318", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.445)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_319", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003369)", "SCALE_PARAM(7, thickness, 1.637)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002034)", "SCALE_PARAM(12, thickness, 1.637)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(12, thickness, 1.323)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_320", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.269)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002362)", "SCALE_PARAM(all_members, thickness, 1.189)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003839)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003949)", "SCALE_PARAM(3, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_321", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.220)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004293)", "SCALE_PARAM(all_members, thickness, 1.115)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "SCALE_PARAM(4, thickness, 1.506)", "SCALE_PARAM(8, thickness, 1.368)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_322", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(11, thickness, 1.610)", "SCALE_PARAM(0, thickness, 1.256)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "SCALE_PARAM(1, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_323", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(18, thickness, 1.493)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(8, thickness, 1.565)", "SCALE_PARAM(7, thickness, 1.504)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_324", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(10, thickness, 1.443)", "SCALE_PARAM(19, thickness, 1.637)", "SCALE_PARAM(0, thickness, 1.376)", "SCALE_PARAM(1, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_325", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002010)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(0, thickness, 1.527)", "SCALE_PARAM(all_members, thickness, 1.242)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003072)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_326", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(10, thickness, 1.435)", "SCALE_PARAM(all_members, thickness, 1.309)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_327", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003837)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002297)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003918)", "SCALE_PARAM(all_members, thickness, 1.166)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_328", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.359)", "SCALE_PARAM(11, thickness, 1.546)", "SCALE_PARAM(13, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.263)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_329", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.002309)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.000983)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(4, thickness, 1.493)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_330", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003251)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002488)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_331", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.647)", "SCALE_PARAM(8, thickness, 1.562)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002562)", "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001950)", "SCALE_PARAM(15, thickness, 1.372)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_332", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.203)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002792)", "SCALE_PARAM(4, thickness, 1.546)", "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "SCALE_PARAM(8, thickness, 1.546)", "SCALE_PARAM(10, thickness, 1.471)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_333", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(14, thickness, 1.639)", "SCALE_PARAM(all_members, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_334", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002557)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003334)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002108)", "SCALE_PARAM(4, thickness, 1.656)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002342)", "SCALE_PARAM(all_members, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_335", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_336", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(16, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.244)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "SCALE_PARAM(20, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_337", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "SCALE_PARAM(1, thickness, 1.504)", "SCALE_PARAM(18, thickness, 1.639)", "SCALE_PARAM(19, thickness, 1.425)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_338", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003264)", "SCALE_PARAM(14, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_339", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001857)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001912)", "SCALE_PARAM(17, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(2, thickness, 1.597)", "SCALE_PARAM(all_members, thickness, 1.285)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_340", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(all_members, thickness, 1.250)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004070)", "SCALE_PARAM(6, thickness, 1.178)", "SCALE_PARAM(9, thickness, 1.289)", "SCALE_PARAM(12, thickness, 1.468)", "SCALE_PARAM(all_members, thickness, 1.121)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_341", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.427)", "SCALE_PARAM(all_members, thickness, 1.299)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "SCALE_PARAM(11, thickness, 1.258)", "SCALE_PARAM(9, thickness, 1.397)", "SCALE_PARAM(17, thickness, 1.550)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_342", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.645)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(20, thickness, 1.513)", "SCALE_PARAM(0, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(10, thickness, 1.613)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_343", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.221)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "SCALE_PARAM(16, thickness, 1.499)", "SCALE_PARAM(8, thickness, 1.272)", "SCALE_PARAM(10, thickness, 1.195)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_344", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(4, thickness, 1.597)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_345", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.001891)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_346", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(0, thickness, 1.608)", "SCALE_PARAM(9, thickness, 1.297)", "SCALE_PARAM(17, thickness, 1.431)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_347", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002218)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002156)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(6, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_348", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(8, thickness, 1.473)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003295)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003620)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002675)", "SCALE_PARAM(all_members, thickness, 1.111)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_349", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.248)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_350", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(16, thickness, 1.629)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_351", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.362)", "SCALE_PARAM(5, thickness, 1.248)", "SCALE_PARAM(4, thickness, 1.585)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_352", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.001985)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(20, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.208)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_353", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.538)", "SCALE_PARAM(2, thickness, 1.484)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005097)", "SCALE_PARAM(11, thickness, 1.445)", "SCALE_PARAM(6, thickness, 1.374)", "SCALE_PARAM(all_members, thickness, 1.159)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_354", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "SCALE_PARAM(3, thickness, 1.634)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_355", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.124)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_356", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(16, thickness, 1.377)", "SCALE_PARAM(12, thickness, 1.220)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_357", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.263)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "SCALE_PARAM(14, thickness, 1.342)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_358", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(14, thickness, 1.284)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_359", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.143)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003197)", "SCALE_PARAM(18, thickness, 1.372)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_360", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002653)", "SCALE_PARAM(6, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(2, thickness, 1.647)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_361", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.239)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002254)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.309)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_362", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002129)", "SCALE_PARAM(11, thickness, 1.590)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001633)", "SCALE_PARAM(all_members, thickness, 1.304)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003160)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_363", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.314)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001446)", "SCALE_PARAM(9, thickness, 1.618)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(6, thickness, 1.348)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(15, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_364", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.241)", "SCALE_PARAM(19, thickness, 1.261)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002198)", "SCALE_PARAM(all_members, thickness, 1.218)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_365", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "SCALE_PARAM(3, thickness, 1.397)", "SCALE_PARAM(5, thickness, 1.458)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_366", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(0, thickness, 1.196)", "SCALE_PARAM(1, thickness, 1.587)", "SCALE_PARAM(5, thickness, 1.453)", "SCALE_PARAM(15, thickness, 1.553)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_367", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.289)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "SCALE_PARAM(11, thickness, 1.346)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "SCALE_PARAM(0, thickness, 1.460)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_368", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(2, thickness, 1.443)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_369", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(9, thickness, 1.295)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_370", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003667)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(9, thickness, 1.447)", "SCALE_PARAM(10, thickness, 1.658)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_371", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003765)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002555)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002106)", "SCALE_PARAM(7, thickness, 1.626)", "SCALE_PARAM(14, thickness, 1.661)", "SCALE_PARAM(all_members, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_372", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(11, thickness, 1.195)", "SCALE_PARAM(11, thickness, 1.495)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_373", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "SCALE_PARAM(10, thickness, 1.439)", "SCALE_PARAM(16, thickness, 1.350)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_374", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001817)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003248)", "SCALE_PARAM(17, thickness, 1.342)", "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003615)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_375", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002479)", "SCALE_PARAM(19, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_376", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.190)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_377", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002417)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(19, thickness, 1.340)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(8, thickness, 1.362)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(3, thickness, 1.572)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_378", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003445)", "SCALE_PARAM(all_members, thickness, 1.233)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003252)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(3, thickness, 1.493)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_379", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_380", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001782)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(7, thickness, 1.447)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003177)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_381", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004317)", "SCALE_PARAM(19, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(4, thickness, 1.664)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_382", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(4, thickness, 1.304)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_383", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(0, thickness, 1.312)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "SCALE_PARAM(9, thickness, 1.351)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_384", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.368)", "SCALE_PARAM(10, thickness, 1.618)", "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "SCALE_PARAM(7, thickness, 1.255)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_385", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002331)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001949)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002066)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002822)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(16, thickness, 1.359)", "SCALE_PARAM(all_members, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_386", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.148)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002742)", "SCALE_PARAM(9, thickness, 1.183)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_387", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005299)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002912)", "SCALE_PARAM(0, thickness, 1.282)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003285)", "SCALE_PARAM(all_members, thickness, 1.115)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_388", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.127)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004004)", "SCALE_PARAM(all_members, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_389", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.597)", "SCALE_PARAM(all_members, thickness, 1.287)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)", "SCALE_PARAM(14, thickness, 1.221)", "SCALE_PARAM(20, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_390", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002223)", "SCALE_PARAM(17, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_391", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003167)", "SCALE_PARAM(8, thickness, 1.222)", "SCALE_PARAM(11, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(6, thickness, 1.650)", "SCALE_PARAM(12, thickness, 1.565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_392", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003785)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001787)", "SCALE_PARAM(14, thickness, 1.248)", "SCALE_PARAM(13, thickness, 1.529)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(4, thickness, 1.462)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_393", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.195)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_394", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001999)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_395", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.227)", "SCALE_PARAM(13, thickness, 1.453)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(12, thickness, 1.276)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_396", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003139)", "SCALE_PARAM(9, thickness, 1.623)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002975)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.244)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "SCALE_PARAM(1, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_397", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_398", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002494)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002687)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(11, thickness, 1.608)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002883)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_399", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002338)", "SCALE_PARAM(11, thickness, 1.189)", "SCALE_PARAM(5, thickness, 1.238)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002553)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_400", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "SCALE_PARAM(17, thickness, 1.311)", "SCALE_PARAM(16, thickness, 1.431)", "SCALE_PARAM(12, thickness, 1.403)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_401", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.289)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "SCALE_PARAM(18, thickness, 1.527)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_402", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.279)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002792)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.305)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003174)", "SCALE_PARAM(16, thickness, 1.453)", "SCALE_PARAM(all_members, thickness, 1.153)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_403", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002951)", "SCALE_PARAM(7, thickness, 1.517)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(1, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_404", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "SCALE_PARAM(11, thickness, 1.404)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "SCALE_PARAM(12, thickness, 1.332)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_405", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.357)", "SCALE_PARAM(5, thickness, 1.342)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_406", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.001261)", "SCALE_PARAM(all_members, thickness, 1.299)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002064)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(2, thickness, 1.529)", "SCALE_PARAM(15, thickness, 1.595)", "SCALE_PARAM(all_members, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_407", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(19, thickness, 1.656)", "SCALE_PARAM(14, thickness, 1.397)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(14, thickness, 1.466)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_408", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(18, thickness, 1.217)", "SCALE_PARAM(3, thickness, 1.404)", "SCALE_PARAM(all_members, thickness, 1.232)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002401)", "SCALE_PARAM(0, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_409", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(7, thickness, 1.412)", "SCALE_PARAM(13, thickness, 1.488)", "SCALE_PARAM(1, thickness, 1.414)", "SCALE_PARAM(6, thickness, 1.631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_410", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.196)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002342)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.179)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_411", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.263)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_412", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003374)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002370)", "SCALE_PARAM(all_members, thickness, 1.255)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_413", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.264)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002302)", "SCALE_PARAM(3, thickness, 1.368)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_414", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "SCALE_PARAM(3, thickness, 1.245)", "SCALE_PARAM(6, thickness, 1.179)", "SCALE_PARAM(0, thickness, 1.451)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_415", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003541)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(all_members, thickness, 1.117)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_416", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002582)", "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003330)", "SCALE_PARAM(all_members, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_417", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002751)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(1, thickness, 1.393)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_418", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "SCALE_PARAM(1, thickness, 1.481)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_419", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "SCALE_PARAM(1, thickness, 1.524)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_420", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(3, thickness, 1.425)", "SCALE_PARAM(all_members, thickness, 1.190)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_421", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002581)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001991)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.163)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_422", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "SCALE_PARAM(10, thickness, 1.337)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_423", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003692)", "SCALE_PARAM(all_members, thickness, 1.305)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_424", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.115)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002359)", "SCALE_PARAM(3, thickness, 1.359)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_425", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.410)", "SCALE_PARAM(all_members, thickness, 1.299)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_426", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003268)", "SCALE_PARAM(14, thickness, 1.397)", "SCALE_PARAM(7, thickness, 1.335)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_427", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.664)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(12, thickness, 1.447)", "SCALE_PARAM(8, thickness, 1.546)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(12, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_428", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.422)", "SCALE_PARAM(all_members, thickness, 1.248)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002363)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_429", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.484)", "SCALE_PARAM(all_members, thickness, 1.241)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003817)", "SCALE_PARAM(all_members, thickness, 1.163)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_430", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002097)", "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003693)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003804)", "SCALE_PARAM(5, thickness, 1.332)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004014)", "SCALE_PARAM(all_members, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_431", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(20, thickness, 1.567)", "SCALE_PARAM(0, thickness, 1.458)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_432", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.404)", "SCALE_PARAM(0, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001981)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002939)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.236)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_433", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_434", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.468)", "SCALE_PARAM(0, thickness, 1.335)", "SCALE_PARAM(13, thickness, 1.548)", "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005314)", "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(12, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_435", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.318)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001989)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.239)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)", "SCALE_PARAM(6, thickness, 1.348)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_436", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "SCALE_PARAM(10, thickness, 1.284)", "SCALE_PARAM(13, thickness, 1.493)", "SCALE_PARAM(9, thickness, 1.314)", "SCALE_PARAM(18, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_437", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002805)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.215)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_438", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_439", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.567)", "SCALE_PARAM(all_members, thickness, 1.241)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "SCALE_PARAM(11, thickness, 1.307)", "SCALE_PARAM(8, thickness, 1.464)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_440", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.179)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003155)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(14, thickness, 1.517)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_441", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.572)", "SCALE_PARAM(18, thickness, 1.359)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(13, thickness, 1.437)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(8, thickness, 1.437)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_442", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_443", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.590)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(9, thickness, 1.258)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_444", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002621)", "SCALE_PARAM(all_members, thickness, 1.140)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "SCALE_PARAM(9, thickness, 1.605)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_445", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002280)", "SCALE_PARAM(14, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.311)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_446", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "SCALE_PARAM(5, thickness, 1.531)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_447", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003356)", "SCALE_PARAM(10, thickness, 1.372)", "SCALE_PARAM(10, thickness, 1.406)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003204)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003456)", "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_448", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(15, thickness, 1.253)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_449", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(15, thickness, 1.277)", "SCALE_PARAM(1, thickness, 1.395)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(2, thickness, 1.441)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_450", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.493)", "SCALE_PARAM(5, thickness, 1.264)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002460)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002389)", "SCALE_PARAM(all_members, thickness, 1.244)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "SCALE_PARAM(16, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_451", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.186)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004870)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(12, thickness, 1.435)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_452", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(19, thickness, 1.610)", "SCALE_PARAM(14, thickness, 1.323)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002449)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_453", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.209)", "SCALE_PARAM(0, thickness, 1.575)", "SCALE_PARAM(all_members, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_454", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_455", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.656)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002356)", "SCALE_PARAM(9, thickness, 1.439)", "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(20, thickness, 1.229)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_456", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003812)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002642)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(14, thickness, 1.377)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_457", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.495)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002985)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(0, thickness, 1.429)", "SCALE_PARAM(1, thickness, 1.600)", "SCALE_PARAM(8, thickness, 1.393)", "SCALE_PARAM(12, thickness, 1.337)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_458", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002736)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(17, thickness, 1.645)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(18, thickness, 1.332)", "SCALE_PARAM(4, thickness, 1.541)", "SCALE_PARAM(10, thickness, 1.385)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_459", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002596)", "SCALE_PARAM(18, thickness, 1.284)", "SCALE_PARAM(4, thickness, 1.623)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003216)", "SCALE_PARAM(all_members, thickness, 1.250)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)", "SCALE_PARAM(3, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_460", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.239)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004972)", "SCALE_PARAM(all_members, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_461", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(8, thickness, 1.245)", "SCALE_PARAM(20, thickness, 1.529)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_462", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(2, thickness, 1.460)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "SCALE_PARAM(4, thickness, 1.658)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_463", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.555)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002647)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.217)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002578)", "SCALE_PARAM(all_members, thickness, 1.153)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_464", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(7, thickness, 1.361)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_465", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.245)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_466", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(13, thickness, 1.513)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_467", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003541)", "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003713)", "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_468", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.587)", "SCALE_PARAM(16, thickness, 1.302)", "SCALE_PARAM(2, thickness, 1.580)", "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003568)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003119)", "SCALE_PARAM(all_members, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_469", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(17, thickness, 1.355)", "SCALE_PARAM(8, thickness, 1.232)", "SCALE_PARAM(20, thickness, 1.460)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_470", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005090)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_471", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.431)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(9, thickness, 1.323)", "SCALE_PARAM(11, thickness, 1.623)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(8, thickness, 1.376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_472", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "SCALE_PARAM(12, thickness, 1.538)", "SCALE_PARAM(17, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_473", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(15, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_474", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "SCALE_PARAM(12, thickness, 1.656)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_475", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002606)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002620)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_476", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003547)", "SCALE_PARAM(4, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_477", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(all_members, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_478", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(18, thickness, 1.431)", "SCALE_PARAM(1, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_479", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(9, thickness, 1.420)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_480", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001944)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_481", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.253)", "SCALE_PARAM(8, thickness, 1.597)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_482", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.176)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004003)", "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_483", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002869)", "SCALE_PARAM(14, thickness, 1.403)", "SCALE_PARAM(18, thickness, 1.307)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003092)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001932)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_484", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)", "SCALE_PARAM(6, thickness, 1.181)", "SCALE_PARAM(16, thickness, 1.468)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_485", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)", "SCALE_PARAM(6, thickness, 1.348)", "SCALE_PARAM(7, thickness, 1.629)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_486", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "SCALE_PARAM(3, thickness, 1.631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_487", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002108)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(3, thickness, 1.543)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_488", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(15, thickness, 1.211)", "SCALE_PARAM(13, thickness, 1.570)", "SCALE_PARAM(8, thickness, 1.502)", "SCALE_PARAM(4, thickness, 1.280)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002529)", "SCALE_PARAM(all_members, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_489", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(4, thickness, 1.534)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001891)", "SCALE_PARAM(11, thickness, 1.232)", "SCALE_PARAM(4, thickness, 1.572)", "SCALE_PARAM(all_members, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_490", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(18, thickness, 1.435)", "SCALE_PARAM(all_members, thickness, 1.242)", "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004032)", "SCALE_PARAM(all_members, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_491", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.597)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(9, thickness, 1.656)", "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003696)", "SCALE_PARAM(all_members, thickness, 1.235)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_492", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(16, thickness, 1.285)", "SCALE_PARAM(5, thickness, 1.449)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002523)", "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003744)", "SCALE_PARAM(all_members, thickness, 1.287)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_493", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)", "SCALE_PARAM(11, thickness, 1.186)", "SCALE_PARAM(6, thickness, 1.427)", "SCALE_PARAM(13, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_494", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.337)", "SCALE_PARAM(13, thickness, 1.307)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003434)", "SCALE_PARAM(all_members, thickness, 1.233)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)", "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_495", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.248)", "SCALE_PARAM(1, thickness, 1.524)", "SCALE_PARAM(15, thickness, 1.522)", "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005035)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(16, thickness, 1.506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_496", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001583)", "SCALE_PARAM(17, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(10, thickness, 1.397)", "SCALE_PARAM(2, thickness, 1.437)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_497", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002590)", "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003194)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_498", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002322)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(0, thickness, 1.597)", "SCALE_PARAM(0, thickness, 1.357)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_096", "trace_id": "auto_problem_096_trace_499", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(1.97, 0.00) [free]\n J2: pos=(3.94, 0.00) [free]\n J3: pos=(5.90, 0.00) [free]\n J4: pos=(7.87, 0.00) [roller]\n J5: pos=(0.00, 2.74) [free]\n J6: pos=(1.97, 2.74) [free]\n J7: pos=(3.94, 2.74) [free]\n J8: pos=(5.90, 2.74) [free]\n J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n Joint J6: Force=(0, -68967, 0) N\n Joint J7: Force=(0, -50137, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 283.28 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 238.74893747790705, "fos_buckling": 0.049060668696589635, "fos_yielding": 0.6481227274824259, "deflection": 0.018348479796855947, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.134)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002112)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(1, thickness, 1.531)", "SCALE_PARAM(3, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_0", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002412)", "SCALE_PARAM(1, thickness, 1.357)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(8, thickness, 1.429)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_1", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.429)", "SCALE_PARAM(8, thickness, 1.582)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002609)", "SCALE_PARAM(all_members, thickness, 1.186)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_2", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "SCALE_PARAM(5, thickness, 1.479)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_3", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(2, thickness, 1.621)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(5, thickness, 1.203)", "SCALE_PARAM(0, thickness, 1.397)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_4", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.314)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(3, thickness, 1.595)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_5", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.202)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001283)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003760)", "SCALE_PARAM(4, thickness, 1.355)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001548)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_6", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.337)", "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002525)", "SCALE_PARAM(8, thickness, 1.272)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004655)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_7", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.582)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.151)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001996)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(0, thickness, 1.490)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_8", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.374)", "SCALE_PARAM(3, thickness, 1.623)", "SCALE_PARAM(4, thickness, 1.562)", "SCALE_PARAM(6, thickness, 1.342)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_9", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001976)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(0, thickness, 1.200)", "SCALE_PARAM(7, thickness, 1.645)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_10", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.418)", "SCALE_PARAM(4, thickness, 1.362)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001858)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.135)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_11", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "SCALE_PARAM(10, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_12", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(7, thickness, 1.235)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_13", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(10, thickness, 1.353)", "SCALE_PARAM(9, thickness, 1.623)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_14", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.555)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001546)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(9, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_15", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003012)", "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.175)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004317)", "SCALE_PARAM(9, thickness, 1.339)", "SCALE_PARAM(all_members, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_16", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_17", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002179)", "SCALE_PARAM(all_members, thickness, 1.171)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001959)", "SCALE_PARAM(all_members, thickness, 1.212)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "SCALE_PARAM(7, thickness, 1.466)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_18", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003921)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(all_members, thickness, 1.292)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_19", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "SCALE_PARAM(0, thickness, 1.284)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(4, thickness, 1.517)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_20", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001629)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003625)", "SCALE_PARAM(3, thickness, 1.656)", "SCALE_PARAM(1, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_21", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(9, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_22", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001332)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004286)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004333)", "SCALE_PARAM(3, thickness, 1.339)", "SCALE_PARAM(all_members, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_23", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.473)", "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001605)", "SCALE_PARAM(5, thickness, 1.597)", "SCALE_PARAM(4, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_24", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.172)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002366)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(all_members, thickness, 1.156)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_25", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(7, thickness, 1.198)", "SCALE_PARAM(7, thickness, 1.389)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_26", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(6, thickness, 1.595)", "SCALE_PARAM(9, thickness, 1.218)", "SCALE_PARAM(4, thickness, 1.383)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "SCALE_PARAM(9, thickness, 1.560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_27", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.233)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001765)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_28", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.515)", "SCALE_PARAM(all_members, thickness, 1.196)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003725)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_29", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004370)", "SCALE_PARAM(5, thickness, 1.577)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003190)", "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(10, thickness, 1.355)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_30", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.202)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(8, thickness, 1.276)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_31", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(2, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_32", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(7, thickness, 1.555)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_33", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001521)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(7, thickness, 1.290)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_34", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(0, thickness, 1.414)", "SCALE_PARAM(8, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_35", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003461)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(2, thickness, 1.439)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(2, thickness, 1.497)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_36", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001975)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004443)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001974)", "SCALE_PARAM(all_members, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_37", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004592)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002064)", "SCALE_PARAM(all_members, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_38", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001674)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(1, thickness, 1.325)", "SCALE_PARAM(10, thickness, 1.439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_39", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.335)", "SCALE_PARAM(8, thickness, 1.311)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002153)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(all_members, thickness, 1.276)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_40", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(2, thickness, 1.567)", "SCALE_PARAM(9, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_41", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.534)", "SCALE_PARAM(1, thickness, 1.385)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(3, thickness, 1.479)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_42", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(0, thickness, 1.403)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_43", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.335)", "SCALE_PARAM(all_members, thickness, 1.256)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_44", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.258)", "SCALE_PARAM(3, thickness, 1.200)", "SCALE_PARAM(1, thickness, 1.435)", "SCALE_PARAM(0, thickness, 1.307)", "SCALE_PARAM(3, thickness, 1.585)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_45", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001201)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004719)", "SCALE_PARAM(3, thickness, 1.642)", "SCALE_PARAM(7, thickness, 1.222)", "SCALE_PARAM(6, thickness, 1.610)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_46", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001963)", "SCALE_PARAM(2, thickness, 1.527)", "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_47", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(7, thickness, 1.414)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(3, thickness, 1.387)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_48", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "SCALE_PARAM(8, thickness, 1.449)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_49", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.256)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(4, thickness, 1.391)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_50", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001670)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002626)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(7, thickness, 1.603)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_51", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005023)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002257)", "SCALE_PARAM(0, thickness, 1.323)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002725)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(6, thickness, 1.368)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_52", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.397)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004578)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002483)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002057)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(4, thickness, 1.567)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_53", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.299)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001489)", "SCALE_PARAM(5, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.309)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "SCALE_PARAM(10, thickness, 1.490)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_54", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001642)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(10, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_55", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001124)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.261)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_56", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.000659)", "SCALE_PARAM(2, thickness, 1.543)", "SCALE_PARAM(0, thickness, 1.443)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.333)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_57", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(6, thickness, 1.572)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(8, thickness, 1.225)", "SCALE_PARAM(7, thickness, 1.391)", "SCALE_PARAM(5, thickness, 1.667)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_58", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002230)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005015)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003297)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(10, thickness, 1.504)", "SCALE_PARAM(4, thickness, 1.520)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_59", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(10, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(1, thickness, 1.276)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_60", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(6, thickness, 1.541)", "SCALE_PARAM(7, thickness, 1.399)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_61", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.002836)", "SCALE_PARAM(1, thickness, 1.339)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(2, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_62", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.292)", "SCALE_PARAM(4, thickness, 1.513)", "SCALE_PARAM(0, thickness, 1.560)", "SCALE_PARAM(1, thickness, 1.227)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_63", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.393)", "SCALE_PARAM(10, thickness, 1.232)", "SCALE_PARAM(7, thickness, 1.550)", "SCALE_PARAM(7, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_64", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(8, thickness, 1.447)", "SCALE_PARAM(6, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_65", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003638)", "SCALE_PARAM(2, thickness, 1.279)", "SCALE_PARAM(10, thickness, 1.570)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_66", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_67", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.562)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(7, thickness, 1.230)", "SCALE_PARAM(9, thickness, 1.499)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_68", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.626)", "SCALE_PARAM(7, thickness, 1.401)", "SCALE_PARAM(0, thickness, 1.209)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "SCALE_PARAM(7, thickness, 1.580)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_69", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004657)", "SCALE_PARAM(5, thickness, 1.364)", "SCALE_PARAM(all_members, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_70", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.127)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001861)", "SCALE_PARAM(all_members, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_71", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001251)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.221)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005091)", "SCALE_PARAM(3, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.121)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_72", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(5, thickness, 1.553)", "SCALE_PARAM(9, thickness, 1.637)", "SCALE_PARAM(1, thickness, 1.458)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(8, thickness, 1.342)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_73", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.346)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(3, thickness, 1.385)", "SCALE_PARAM(2, thickness, 1.524)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_74", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001751)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003940)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002113)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001344)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.115)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_75", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(all_members, thickness, 1.168)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_76", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002083)", "SCALE_PARAM(all_members, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_77", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.425)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.148)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_78", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(4, thickness, 1.427)", "SCALE_PARAM(all_members, thickness, 1.300)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002119)", "SCALE_PARAM(8, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_79", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.337)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(4, thickness, 1.368)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_80", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.112)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002150)", "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(1, thickness, 1.661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_81", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002606)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(10, thickness, 1.387)", "SCALE_PARAM(7, thickness, 1.420)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_82", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.299)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004735)", "SCALE_PARAM(1, thickness, 1.271)", "SCALE_PARAM(5, thickness, 1.520)", "SCALE_PARAM(6, thickness, 1.587)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002568)", "SCALE_PARAM(all_members, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_83", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001455)", "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(1, thickness, 1.202)", "SCALE_PARAM(9, thickness, 1.647)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_84", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.299)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001364)", "SCALE_PARAM(9, thickness, 1.546)", "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002225)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(3, thickness, 1.647)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_85", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002051)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_86", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001652)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "SCALE_PARAM(8, thickness, 1.553)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_87", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001277)", "SCALE_PARAM(9, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(10, thickness, 1.217)", "SCALE_PARAM(5, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_88", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.515)", "SCALE_PARAM(9, thickness, 1.258)", "SCALE_PARAM(5, thickness, 1.441)", "SCALE_PARAM(1, thickness, 1.344)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_89", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.161)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002592)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(7, thickness, 1.623)", "SCALE_PARAM(3, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_90", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(5, thickness, 1.468)", "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "SCALE_PARAM(7, thickness, 1.536)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_91", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.550)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_92", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001984)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001838)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(7, thickness, 1.585)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_93", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.376)", "SCALE_PARAM(1, thickness, 1.185)", "SCALE_PARAM(7, thickness, 1.462)", "SCALE_PARAM(9, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_94", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(3, thickness, 1.433)", "SCALE_PARAM(5, thickness, 1.416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_95", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(4, thickness, 1.587)", "SCALE_PARAM(2, thickness, 1.587)", "SCALE_PARAM(0, thickness, 1.650)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_96", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.192)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002225)", "SCALE_PARAM(all_members, thickness, 1.153)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_97", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.153)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(8, thickness, 1.603)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_98", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.395)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001264)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(9, thickness, 1.416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_99", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002380)", "SCALE_PARAM(all_members, thickness, 1.300)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_100", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002752)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002112)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001751)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_101", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.572)", "SCALE_PARAM(3, thickness, 1.299)", "SCALE_PARAM(0, thickness, 1.222)", "SCALE_PARAM(4, thickness, 1.562)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_102", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_103", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001562)", "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004851)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(4, thickness, 1.399)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_104", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001609)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002095)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002096)", "SCALE_PARAM(all_members, thickness, 1.224)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_105", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001426)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001858)", "SCALE_PARAM(all_members, thickness, 1.130)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002099)", "SCALE_PARAM(0, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_106", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.248)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004790)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_107", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(1, thickness, 1.224)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_108", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(3, thickness, 1.590)", "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004586)", "SCALE_PARAM(all_members, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_109", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.304)", "SCALE_PARAM(2, thickness, 1.562)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003564)", "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004653)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_110", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.227)", "SCALE_PARAM(3, thickness, 1.393)", "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_111", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_112", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003551)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(3, thickness, 1.179)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_113", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.175)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_114", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.135)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_115", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(0, thickness, 1.183)", "SCALE_PARAM(0, thickness, 1.372)", "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005007)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_116", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(9, thickness, 1.493)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_117", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.285)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_118", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "SCALE_PARAM(6, thickness, 1.259)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004487)", "SCALE_PARAM(7, thickness, 1.287)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_119", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.408)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001683)", "SCALE_PARAM(all_members, thickness, 1.171)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_120", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(0, thickness, 1.217)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004464)", "SCALE_PARAM(7, thickness, 1.292)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_121", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(all_members, thickness, 1.124)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_122", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.000747)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(2, thickness, 1.232)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_123", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(0, thickness, 1.555)", "SCALE_PARAM(9, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_124", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.305)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.002720)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.000928)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(10, thickness, 1.326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_125", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.220)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001525)", "SCALE_PARAM(9, thickness, 1.502)", "SCALE_PARAM(all_members, thickness, 1.290)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_126", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.364)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001049)", "SCALE_PARAM(3, thickness, 1.451)", "SCALE_PARAM(6, thickness, 1.520)", "SCALE_PARAM(all_members, thickness, 1.224)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004521)", "SCALE_PARAM(all_members, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_127", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002248)", "SCALE_PARAM(0, thickness, 1.645)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(2, thickness, 1.473)", "SCALE_PARAM(3, thickness, 1.361)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_128", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001569)", "SCALE_PARAM(8, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(4, thickness, 1.466)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_129", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(2, thickness, 1.460)", "SCALE_PARAM(8, thickness, 1.357)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002279)", "SCALE_PARAM(all_members, thickness, 1.126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_130", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.418)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.190)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(8, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_131", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002470)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(5, thickness, 1.391)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(0, thickness, 1.520)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_132", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(1, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_133", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002719)", "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "SCALE_PARAM(5, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_134", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(2, thickness, 1.616)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "SCALE_PARAM(7, thickness, 1.567)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_135", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(9, thickness, 1.342)", "SCALE_PARAM(4, thickness, 1.182)", "SCALE_PARAM(4, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.183)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_136", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(8, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005149)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002762)", "SCALE_PARAM(all_members, thickness, 1.121)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_137", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.570)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003812)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_138", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.339)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002056)", "SCALE_PARAM(8, thickness, 1.639)", "SCALE_PARAM(8, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.248)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_139", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "SCALE_PARAM(6, thickness, 1.642)", "SCALE_PARAM(5, thickness, 1.582)", "SCALE_PARAM(10, thickness, 1.391)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_140", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(2, thickness, 1.550)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_141", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(0, thickness, 1.330)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001654)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(0, thickness, 1.560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_142", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001283)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.263)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004472)", "SCALE_PARAM(all_members, thickness, 1.276)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_143", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.196)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001551)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002033)", "SCALE_PARAM(0, thickness, 1.553)", "SCALE_PARAM(0, thickness, 1.600)", "SCALE_PARAM(8, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_144", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001225)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003549)", "SCALE_PARAM(all_members, thickness, 1.230)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002369)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(4, thickness, 1.468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_145", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002025)", "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_146", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003823)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.241)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_147", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.650)", "SCALE_PARAM(0, thickness, 1.408)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_148", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.318)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_149", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "SCALE_PARAM(1, thickness, 1.256)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_150", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.224)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001675)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.218)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_151", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004814)", "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_152", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_153", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.297)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003645)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001638)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.112)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_154", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001644)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001775)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(1, thickness, 1.277)", "SCALE_PARAM(7, thickness, 1.342)", "SCALE_PARAM(all_members, thickness, 1.160)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_155", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(7, thickness, 1.408)", "SCALE_PARAM(7, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_156", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001146)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004528)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002012)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(0, thickness, 1.263)", "SCALE_PARAM(2, thickness, 1.350)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_157", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001552)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.002893)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(5, thickness, 1.481)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_158", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.175)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_159", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(2, thickness, 1.222)", "SCALE_PARAM(9, thickness, 1.590)", "SCALE_PARAM(all_members, thickness, 1.274)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_160", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(all_members, thickness, 1.222)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_161", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002299)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001765)", "SCALE_PARAM(9, thickness, 1.420)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005115)", "SCALE_PARAM(all_members, thickness, 1.116)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_162", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.490)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001588)", "SCALE_PARAM(5, thickness, 1.372)", "SCALE_PARAM(2, thickness, 1.587)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_163", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(2, thickness, 1.538)", "SCALE_PARAM(2, thickness, 1.359)", "SCALE_PARAM(all_members, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_164", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_165", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001608)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002095)", "SCALE_PARAM(1, thickness, 1.458)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001940)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002094)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(4, thickness, 1.460)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_166", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.202)", "SCALE_PARAM(1, thickness, 1.513)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001956)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004752)", "SCALE_PARAM(all_members, thickness, 1.215)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_167", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002544)", "SCALE_PARAM(1, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_168", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.134)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_169", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(5, thickness, 1.479)", "SCALE_PARAM(0, thickness, 1.290)", "SCALE_PARAM(5, thickness, 1.353)", "SCALE_PARAM(7, thickness, 1.647)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_170", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_171", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001512)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004383)", "SCALE_PARAM(all_members, thickness, 1.302)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_172", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001614)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(3, thickness, 1.332)", "SCALE_PARAM(2, thickness, 1.570)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_173", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.190)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002094)", "SCALE_PARAM(9, thickness, 1.427)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(2, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_174", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(all_members, thickness, 1.263)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001371)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(9, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_175", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003706)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001526)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_176", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(7, thickness, 1.355)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_177", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(7, thickness, 1.565)", "SCALE_PARAM(9, thickness, 1.443)", "SCALE_PARAM(6, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_178", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(0, thickness, 1.468)", "SCALE_PARAM(0, thickness, 1.348)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "SCALE_PARAM(5, thickness, 1.366)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_179", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(2, thickness, 1.389)", "SCALE_PARAM(4, thickness, 1.437)", "SCALE_PARAM(2, thickness, 1.292)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_180", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.332)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001130)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(4, thickness, 1.381)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(0, thickness, 1.321)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_181", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(1, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_182", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(2, thickness, 1.445)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_183", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.481)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(9, thickness, 1.538)", "SCALE_PARAM(7, thickness, 1.292)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_184", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(0, thickness, 1.312)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_185", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "SCALE_PARAM(7, thickness, 1.513)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_186", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.287)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_187", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004540)", "SCALE_PARAM(2, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_188", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001767)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.126)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_189", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(9, thickness, 1.185)", "SCALE_PARAM(4, thickness, 1.441)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004129)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(6, thickness, 1.408)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_190", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.259)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001722)", "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_191", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002285)", "SCALE_PARAM(all_members, thickness, 1.212)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001763)", "SCALE_PARAM(all_members, thickness, 1.117)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_192", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.439)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_193", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(7, thickness, 1.453)", "SCALE_PARAM(all_members, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_194", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001658)", "SCALE_PARAM(10, thickness, 1.342)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_195", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.399)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(4, thickness, 1.192)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002120)", "SCALE_PARAM(all_members, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_196", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001828)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.151)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_197", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.179)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002066)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001913)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(1, thickness, 1.235)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_198", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001622)", "SCALE_PARAM(4, thickness, 1.295)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(2, thickness, 1.215)", "SCALE_PARAM(8, thickness, 1.307)", "SCALE_PARAM(1, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_199", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.292)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(1, thickness, 1.462)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_200", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.143)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(5, thickness, 1.592)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(9, thickness, 1.188)", "SCALE_PARAM(10, thickness, 1.355)", "SCALE_PARAM(10, thickness, 1.292)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_201", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "SCALE_PARAM(10, thickness, 1.441)", "SCALE_PARAM(5, thickness, 1.193)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_202", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.527)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(6, thickness, 1.208)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002539)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(7, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_203", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(5, thickness, 1.558)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_204", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(4, thickness, 1.427)", "SCALE_PARAM(9, thickness, 1.250)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_205", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.183)", "SCALE_PARAM(4, thickness, 1.623)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(4, thickness, 1.531)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_206", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(6, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.138)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_207", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001545)", "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002292)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(9, thickness, 1.513)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_208", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001560)", "SCALE_PARAM(7, thickness, 1.645)", "SCALE_PARAM(0, thickness, 1.294)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003599)", "SCALE_PARAM(7, thickness, 1.603)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_209", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_210", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001498)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001483)", "SCALE_PARAM(8, thickness, 1.289)", "SCALE_PARAM(6, thickness, 1.541)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(7, thickness, 1.326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_211", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002336)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001792)", "SCALE_PARAM(all_members, thickness, 1.326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_212", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002072)", "SCALE_PARAM(0, thickness, 1.209)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001717)", "SCALE_PARAM(4, thickness, 1.647)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002700)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004977)", "SCALE_PARAM(all_members, thickness, 1.147)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_213", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_214", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.350)", "SCALE_PARAM(all_members, thickness, 1.287)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_215", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(9, thickness, 1.181)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_216", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004697)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002088)", "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_217", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002058)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(3, thickness, 1.302)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_218", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(4, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_219", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.437)", "SCALE_PARAM(0, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(1, thickness, 1.198)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_220", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005187)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(4, thickness, 1.222)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_221", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(3, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_222", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_223", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_224", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.595)", "SCALE_PARAM(all_members, thickness, 1.166)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001547)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(10, thickness, 1.661)", "SCALE_PARAM(all_members, thickness, 1.255)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_225", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.318)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002199)", "SCALE_PARAM(all_members, thickness, 1.167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_226", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001761)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004279)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002295)", "SCALE_PARAM(6, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(all_members, thickness, 1.155)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_227", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(all_members, thickness, 1.302)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.002931)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(0, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(10, thickness, 1.215)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_228", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001661)", "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004431)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001529)", "SCALE_PARAM(0, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.289)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_229", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.147)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003301)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.233)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_230", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(10, thickness, 1.634)", "SCALE_PARAM(4, thickness, 1.653)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_231", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.309)", "SCALE_PARAM(2, thickness, 1.610)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_232", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.134)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(2, thickness, 1.362)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_233", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.431)", "SCALE_PARAM(7, thickness, 1.205)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "SCALE_PARAM(1, thickness, 1.344)", "SCALE_PARAM(4, thickness, 1.287)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_234", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.220)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004852)", "SCALE_PARAM(all_members, thickness, 1.176)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_235", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(5, thickness, 1.319)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002048)", "SCALE_PARAM(all_members, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_236", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.002984)", "SCALE_PARAM(6, thickness, 1.316)", "SCALE_PARAM(4, thickness, 1.252)", "SCALE_PARAM(7, thickness, 1.258)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002579)", "SCALE_PARAM(10, thickness, 1.592)", "SCALE_PARAM(all_members, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_237", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002162)", "SCALE_PARAM(5, thickness, 1.389)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(10, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.124)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_238", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004927)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001300)", "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(3, thickness, 1.577)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_239", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.000883)", "SCALE_PARAM(2, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.171)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_240", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001449)", "SCALE_PARAM(3, thickness, 1.639)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_241", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.499)", "SCALE_PARAM(10, thickness, 1.277)", "SCALE_PARAM(9, thickness, 1.567)", "SCALE_PARAM(2, thickness, 1.379)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_242", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.192)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "SCALE_PARAM(10, thickness, 1.429)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_243", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001502)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001622)", "SCALE_PARAM(0, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_244", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.264)", "SCALE_PARAM(7, thickness, 1.318)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001965)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001820)", "SCALE_PARAM(4, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_245", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(8, thickness, 1.340)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_246", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(7, thickness, 1.351)", "SCALE_PARAM(all_members, thickness, 1.235)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_247", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(6, thickness, 1.300)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "SCALE_PARAM(9, thickness, 1.647)", "SCALE_PARAM(3, thickness, 1.577)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_248", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(7, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_249", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(4, thickness, 1.351)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "SCALE_PARAM(5, thickness, 1.546)", "SCALE_PARAM(0, thickness, 1.408)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_250", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.217)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002000)", "SCALE_PARAM(all_members, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_251", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(1, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.149)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_252", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(1, thickness, 1.284)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004594)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(6, thickness, 1.585)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "SCALE_PARAM(7, thickness, 1.410)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_253", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.401)", "SCALE_PARAM(6, thickness, 1.616)", "SCALE_PARAM(1, thickness, 1.575)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_254", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002748)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(6, thickness, 1.362)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_255", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.314)", "SCALE_PARAM(0, thickness, 1.587)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_256", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.325)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_257", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(8, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(8, thickness, 1.488)", "SCALE_PARAM(all_members, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_258", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002141)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(0, thickness, 1.385)", "SCALE_PARAM(8, thickness, 1.645)", "SCALE_PARAM(all_members, thickness, 1.276)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_259", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.511)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002259)", "SCALE_PARAM(all_members, thickness, 1.136)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_260", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_261", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.653)", "SCALE_PARAM(5, thickness, 1.456)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002743)", "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_262", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003216)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(1, thickness, 1.562)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_263", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002743)", "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_264", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(4, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_265", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.374)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001112)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(9, thickness, 1.570)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_266", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(8, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(6, thickness, 1.399)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(10, thickness, 1.431)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_267", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(6, thickness, 1.292)", "SCALE_PARAM(5, thickness, 1.353)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(10, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.160)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_268", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001042)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.330)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001923)", "SCALE_PARAM(all_members, thickness, 1.236)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_269", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(1, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.189)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "SCALE_PARAM(6, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_270", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.608)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(1, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(2, thickness, 1.233)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_271", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.220)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002027)", "SCALE_PARAM(4, thickness, 1.377)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(9, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_272", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_273", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(8, thickness, 1.431)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001802)", "SCALE_PARAM(8, thickness, 1.422)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_274", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.362)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(2, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(7, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(9, thickness, 1.410)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_275", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.134)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001940)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002341)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(5, thickness, 1.534)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_276", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.522)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004863)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004917)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_277", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(1, thickness, 1.408)", "SCALE_PARAM(4, thickness, 1.460)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(5, thickness, 1.408)", "SCALE_PARAM(all_members, thickness, 1.179)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_278", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_279", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.001942)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001580)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(10, thickness, 1.486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_280", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.610)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(4, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_281", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(1, thickness, 1.621)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(5, thickness, 1.468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_282", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004198)", "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004752)", "SCALE_PARAM(5, thickness, 1.534)", "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001784)", "SCALE_PARAM(5, thickness, 1.439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_283", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.214)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001971)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(7, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_284", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005129)", "SCALE_PARAM(3, thickness, 1.650)", "SCALE_PARAM(5, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(8, thickness, 1.235)", "SCALE_PARAM(3, thickness, 1.477)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_285", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004432)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(4, thickness, 1.435)", "SCALE_PARAM(9, thickness, 1.513)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_286", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001959)", "SCALE_PARAM(8, thickness, 1.580)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_287", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.221)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002500)", "SCALE_PARAM(all_members, thickness, 1.239)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003973)", "SCALE_PARAM(1, thickness, 1.259)", "SCALE_PARAM(10, thickness, 1.437)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_288", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002142)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(3, thickness, 1.269)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(3, thickness, 1.536)", "SCALE_PARAM(4, thickness, 1.287)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_289", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(2, thickness, 1.397)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_290", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002214)", "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(2, thickness, 1.305)", "SCALE_PARAM(7, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(5, thickness, 1.325)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_291", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_292", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.230)", "SCALE_PARAM(6, thickness, 1.366)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001386)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(0, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.186)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_293", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001117)", "SCALE_PARAM(2, thickness, 1.506)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002190)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004928)", "SCALE_PARAM(all_members, thickness, 1.171)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "SCALE_PARAM(5, thickness, 1.431)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_294", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001206)", "SCALE_PARAM(2, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(4, thickness, 1.176)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_295", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001159)", "SCALE_PARAM(all_members, thickness, 1.274)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001925)", "SCALE_PARAM(all_members, thickness, 1.333)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "SCALE_PARAM(8, thickness, 1.326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_296", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002129)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002298)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005172)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002299)", "SCALE_PARAM(all_members, thickness, 1.116)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_297", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.548)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003513)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.266)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "SCALE_PARAM(2, thickness, 1.235)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_298", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(3, thickness, 1.590)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(2, thickness, 1.600)", "SCALE_PARAM(all_members, thickness, 1.326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_299", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002621)", "SCALE_PARAM(7, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_300", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.412)", "SCALE_PARAM(all_members, thickness, 1.200)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001663)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002166)", "SCALE_PARAM(all_members, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_301", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(0, thickness, 1.582)", "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001703)", "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.136)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_302", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.634)", "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_303", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002157)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002603)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002157)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(0, thickness, 1.517)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_304", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.618)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(4, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_305", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "SCALE_PARAM(2, thickness, 1.458)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_306", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001449)", "SCALE_PARAM(2, thickness, 1.477)", "SCALE_PARAM(8, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_307", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.253)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(2, thickness, 1.190)", "SCALE_PARAM(0, thickness, 1.389)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_308", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_309", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001837)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004087)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001410)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_310", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(4, thickness, 1.397)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001862)", "SCALE_PARAM(all_members, thickness, 1.276)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_311", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001540)", "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002100)", "SCALE_PARAM(all_members, thickness, 1.131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_312", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.232)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_313", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001735)", "SCALE_PARAM(10, thickness, 1.522)", "SCALE_PARAM(0, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.135)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_314", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003865)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(all_members, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_315", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001255)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.002823)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_316", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(6, thickness, 1.567)", "SCALE_PARAM(4, thickness, 1.245)", "SCALE_PARAM(8, thickness, 1.399)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(6, thickness, 1.256)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_317", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.212)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_318", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001322)", "SCALE_PARAM(5, thickness, 1.548)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(6, thickness, 1.637)", "SCALE_PARAM(1, thickness, 1.408)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_319", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.167)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002481)", "SCALE_PARAM(all_members, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_320", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.427)", "SCALE_PARAM(2, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.233)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(4, thickness, 1.529)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_321", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001509)", "SCALE_PARAM(all_members, thickness, 1.126)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "SCALE_PARAM(3, thickness, 1.560)", "SCALE_PARAM(5, thickness, 1.511)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_322", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(3, thickness, 1.565)", "SCALE_PARAM(8, thickness, 1.383)", "SCALE_PARAM(0, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_323", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.314)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(2, thickness, 1.548)", "SCALE_PARAM(1, thickness, 1.412)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001570)", "SCALE_PARAM(8, thickness, 1.634)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_324", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.245)", "SCALE_PARAM(2, thickness, 1.592)", "SCALE_PARAM(4, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(7, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_325", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.449)", "SCALE_PARAM(all_members, thickness, 1.297)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004068)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(10, thickness, 1.403)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_326", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_327", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001970)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(4, thickness, 1.610)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_328", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.255)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001984)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(0, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_329", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.247)", "SCALE_PARAM(1, thickness, 1.185)", "SCALE_PARAM(0, thickness, 1.466)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_330", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(7, thickness, 1.558)", "SCALE_PARAM(2, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.149)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002051)", "SCALE_PARAM(all_members, thickness, 1.159)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_331", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.259)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_332", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(8, thickness, 1.610)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(5, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_333", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(5, thickness, 1.190)", "SCALE_PARAM(4, thickness, 1.224)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "SCALE_PARAM(9, thickness, 1.355)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_334", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.114)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001683)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(2, thickness, 1.359)", "SCALE_PARAM(all_members, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_335", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(1, thickness, 1.261)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001260)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(10, thickness, 1.404)", "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(all_members, thickness, 1.302)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_336", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001478)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001847)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004487)", "SCALE_PARAM(9, thickness, 1.629)", "SCALE_PARAM(all_members, thickness, 1.287)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_337", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.279)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002135)", "SCALE_PARAM(all_members, thickness, 1.112)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_338", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.395)", "SCALE_PARAM(3, thickness, 1.613)", "SCALE_PARAM(5, thickness, 1.266)", "SCALE_PARAM(8, thickness, 1.587)", "SCALE_PARAM(all_members, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_339", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001797)", "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(1, thickness, 1.445)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001534)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_340", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.000993)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(0, thickness, 1.350)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003366)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(all_members, thickness, 1.171)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_341", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002123)", "SCALE_PARAM(1, thickness, 1.502)", "SCALE_PARAM(1, thickness, 1.274)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002767)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001760)", "SCALE_PARAM(all_members, thickness, 1.119)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_342", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.393)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001816)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(5, thickness, 1.397)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(10, thickness, 1.332)", "SCALE_PARAM(10, thickness, 1.346)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_343", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.186)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002002)", "SCALE_PARAM(all_members, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_344", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(4, thickness, 1.511)", "SCALE_PARAM(2, thickness, 1.433)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(2, thickness, 1.508)", "SCALE_PARAM(9, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_345", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002140)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002584)", "SCALE_PARAM(all_members, thickness, 1.199)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_346", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_347", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002242)", "SCALE_PARAM(4, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.144)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_348", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001342)", "SCALE_PARAM(4, thickness, 1.279)", "SCALE_PARAM(0, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.183)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002068)", "SCALE_PARAM(6, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_349", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(all_members, thickness, 1.214)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_350", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.629)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(6, thickness, 1.473)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_351", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002022)", "SCALE_PARAM(5, thickness, 1.244)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001552)", "SCALE_PARAM(all_members, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_352", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.389)", "SCALE_PARAM(all_members, thickness, 1.300)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_353", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(6, thickness, 1.305)", "SCALE_PARAM(2, thickness, 1.637)", "SCALE_PARAM(8, thickness, 1.560)", "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002140)", "SCALE_PARAM(8, thickness, 1.199)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_354", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003616)", "SCALE_PARAM(1, thickness, 1.466)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.206)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(9, thickness, 1.575)", "SCALE_PARAM(2, thickness, 1.256)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_355", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002230)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004157)", "SCALE_PARAM(all_members, thickness, 1.157)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001641)", "SCALE_PARAM(all_members, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_356", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002509)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(1, thickness, 1.383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_357", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.370)", "SCALE_PARAM(8, thickness, 1.372)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(all_members, thickness, 1.149)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_358", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002454)", "SCALE_PARAM(all_members, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_359", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002288)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(6, thickness, 1.316)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(0, thickness, 1.667)", "SCALE_PARAM(1, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_360", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.242)", "SCALE_PARAM(5, thickness, 1.272)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "SCALE_PARAM(3, thickness, 1.368)", "SCALE_PARAM(8, thickness, 1.466)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_361", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(9, thickness, 1.577)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_362", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.200)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_363", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.229)", "SCALE_PARAM(2, thickness, 1.344)", "SCALE_PARAM(2, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_364", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "SCALE_PARAM(1, thickness, 1.623)", "SCALE_PARAM(10, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_365", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003702)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001645)", "SCALE_PARAM(5, thickness, 1.639)", "SCALE_PARAM(5, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_366", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "SCALE_PARAM(0, thickness, 1.597)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_367", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_368", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001992)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(2, thickness, 1.362)", "SCALE_PARAM(6, thickness, 1.443)", "SCALE_PARAM(2, thickness, 1.473)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_369", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001246)", "SCALE_PARAM(all_members, thickness, 1.311)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001763)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.259)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_370", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.325)", "SCALE_PARAM(5, thickness, 1.495)", "SCALE_PARAM(5, thickness, 1.302)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_371", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002195)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004385)", "SCALE_PARAM(7, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_372", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(8, thickness, 1.224)", "SCALE_PARAM(8, thickness, 1.621)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(9, thickness, 1.410)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_373", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004074)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.129)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_374", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004425)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002374)", "SCALE_PARAM(0, thickness, 1.282)", "SCALE_PARAM(1, thickness, 1.597)", "SCALE_PARAM(0, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(2, thickness, 1.443)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_375", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004204)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(4, thickness, 1.193)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002541)", "SCALE_PARAM(all_members, thickness, 1.218)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_376", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002526)", "SCALE_PARAM(9, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_377", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "SCALE_PARAM(10, thickness, 1.183)", "SCALE_PARAM(9, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_378", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.220)", "SCALE_PARAM(3, thickness, 1.333)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002535)", "SCALE_PARAM(all_members, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_379", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001696)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(7, thickness, 1.183)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_380", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "SCALE_PARAM(1, thickness, 1.527)", "SCALE_PARAM(7, thickness, 1.217)", "SCALE_PARAM(9, thickness, 1.178)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_381", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.255)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_382", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.603)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002089)", "SCALE_PARAM(8, thickness, 1.575)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002255)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_383", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(3, thickness, 1.247)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(0, thickness, 1.439)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_384", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.479)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_385", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001175)", "SCALE_PARAM(3, thickness, 1.366)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(7, thickness, 1.302)", "SCALE_PARAM(9, thickness, 1.189)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001990)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_386", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001242)", "SCALE_PARAM(4, thickness, 1.193)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001137)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.289)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005018)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_387", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.362)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(1, thickness, 1.302)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001989)", "SCALE_PARAM(6, thickness, 1.332)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004831)", "SCALE_PARAM(all_members, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_388", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.379)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004607)", "SCALE_PARAM(all_members, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_389", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.318)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_390", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002100)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(7, thickness, 1.431)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_391", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001876)", "SCALE_PARAM(2, thickness, 1.484)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(7, thickness, 1.587)", "SCALE_PARAM(all_members, thickness, 1.186)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002246)", "SCALE_PARAM(all_members, thickness, 1.143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_392", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001821)", "SCALE_PARAM(7, thickness, 1.408)", "SCALE_PARAM(8, thickness, 1.200)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_393", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.642)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "SCALE_PARAM(3, thickness, 1.600)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_394", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(2, thickness, 1.312)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_395", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004677)", "SCALE_PARAM(1, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_396", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.335)", "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_397", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.656)", "SCALE_PARAM(7, thickness, 1.468)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.133)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_398", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(1, thickness, 1.314)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "SCALE_PARAM(1, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_399", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "SCALE_PARAM(2, thickness, 1.613)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(5, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_400", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002072)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(1, thickness, 1.340)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "SCALE_PARAM(7, thickness, 1.192)", "SCALE_PARAM(1, thickness, 1.406)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_401", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.515)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002290)", "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_402", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005098)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002292)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(5, thickness, 1.527)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_403", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.481)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(6, thickness, 1.497)", "SCALE_PARAM(5, thickness, 1.603)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_404", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.000926)", "SCALE_PARAM(5, thickness, 1.266)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004300)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004348)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(2, thickness, 1.603)", "SCALE_PARAM(3, thickness, 1.199)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_405", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.163)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_406", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.372)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "SCALE_PARAM(7, thickness, 1.653)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_407", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004697)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001934)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001603)", "SCALE_PARAM(all_members, thickness, 1.229)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_408", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.653)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001866)", "SCALE_PARAM(3, thickness, 1.272)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_409", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001847)", "SCALE_PARAM(all_members, thickness, 1.192)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004954)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002202)", "SCALE_PARAM(all_members, thickness, 1.166)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_410", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_411", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.511)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001982)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002139)", "SCALE_PARAM(10, thickness, 1.335)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(6, thickness, 1.582)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_412", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001736)", "SCALE_PARAM(5, thickness, 1.355)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001704)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(9, thickness, 1.603)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_413", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001356)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003051)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002008)", "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_414", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.381)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001336)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(8, thickness, 1.418)", "SCALE_PARAM(4, thickness, 1.529)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_415", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003744)", "SCALE_PARAM(all_members, thickness, 1.274)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001646)", "SCALE_PARAM(all_members, thickness, 1.196)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_416", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(7, thickness, 1.178)", "SCALE_PARAM(2, thickness, 1.631)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_417", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005007)", "SCALE_PARAM(3, thickness, 1.366)", "SCALE_PARAM(0, thickness, 1.238)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002225)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(4, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_418", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.002159)", "SCALE_PARAM(6, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(10, thickness, 1.621)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_419", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(7, thickness, 1.484)", "SCALE_PARAM(all_members, thickness, 1.119)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_420", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001814)", "SCALE_PARAM(all_members, thickness, 1.126)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003427)", "SCALE_PARAM(5, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(4, thickness, 1.189)", "SCALE_PARAM(10, thickness, 1.326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_421", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(9, thickness, 1.188)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "SCALE_PARAM(5, thickness, 1.582)", "SCALE_PARAM(9, thickness, 1.538)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_422", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001897)", "SCALE_PARAM(0, thickness, 1.558)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002048)", "SCALE_PARAM(all_members, thickness, 1.252)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "SCALE_PARAM(1, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_423", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "SCALE_PARAM(10, thickness, 1.340)", "SCALE_PARAM(0, thickness, 1.543)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_424", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001652)", "SCALE_PARAM(8, thickness, 1.232)", "SCALE_PARAM(7, thickness, 1.401)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001686)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(8, thickness, 1.462)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_425", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.284)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004648)", "SCALE_PARAM(5, thickness, 1.471)", "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "SCALE_PARAM(2, thickness, 1.370)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_426", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.383)", "SCALE_PARAM(0, thickness, 1.385)", "SCALE_PARAM(6, thickness, 1.567)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_427", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001386)", "SCALE_PARAM(all_members, thickness, 1.200)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "SCALE_PARAM(9, thickness, 1.477)", "SCALE_PARAM(8, thickness, 1.543)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_428", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004179)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004133)", "SCALE_PARAM(6, thickness, 1.362)", "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.148)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_429", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.277)", "SCALE_PARAM(3, thickness, 1.248)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002675)", "SCALE_PARAM(2, thickness, 1.653)", "SCALE_PARAM(all_members, thickness, 1.157)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_430", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.376)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(1, thickness, 1.458)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005150)", "SCALE_PARAM(all_members, thickness, 1.121)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_431", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(1, thickness, 1.272)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_432", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001063)", "SCALE_PARAM(5, thickness, 1.456)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_433", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.285)", "SCALE_PARAM(2, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_434", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(5, thickness, 1.572)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "SCALE_PARAM(8, thickness, 1.488)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_435", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.279)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002014)", "SCALE_PARAM(all_members, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_436", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(5, thickness, 1.431)", "SCALE_PARAM(all_members, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_437", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_438", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.151)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_439", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005024)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(0, thickness, 1.239)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "SCALE_PARAM(8, thickness, 1.208)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_440", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001812)", "SCALE_PARAM(0, thickness, 1.195)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001502)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002361)", "SCALE_PARAM(all_members, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_441", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.346)", "SCALE_PARAM(all_members, thickness, 1.167)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001912)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(10, thickness, 1.538)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_442", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.353)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001693)", "SCALE_PARAM(all_members, thickness, 1.163)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_443", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "SCALE_PARAM(2, thickness, 1.522)", "SCALE_PARAM(10, thickness, 1.580)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_444", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(7, thickness, 1.245)", "SCALE_PARAM(4, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_445", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.377)", "SCALE_PARAM(4, thickness, 1.477)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001988)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001841)", "SCALE_PARAM(all_members, thickness, 1.290)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_446", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(9, thickness, 1.266)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004691)", "SCALE_PARAM(all_members, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_447", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(3, thickness, 1.637)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_448", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(9, thickness, 1.590)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004355)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(7, thickness, 1.321)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_449", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "SCALE_PARAM(7, thickness, 1.587)", "SCALE_PARAM(1, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_450", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001549)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_451", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.300)", "SCALE_PARAM(0, thickness, 1.311)", "SCALE_PARAM(5, thickness, 1.429)", "SCALE_PARAM(2, thickness, 1.357)", "SCALE_PARAM(all_members, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_452", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001656)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(0, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_453", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.235)", "SCALE_PARAM(6, thickness, 1.497)", "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(3, thickness, 1.634)", "SCALE_PARAM(8, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_454", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.416)", "SCALE_PARAM(5, thickness, 1.330)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002392)", "SCALE_PARAM(all_members, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_455", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.168)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001515)", "SCALE_PARAM(8, thickness, 1.495)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(3, thickness, 1.393)", "SCALE_PARAM(8, thickness, 1.460)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_456", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(2, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_457", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004053)", "SCALE_PARAM(1, thickness, 1.340)", "SCALE_PARAM(3, thickness, 1.381)", "SCALE_PARAM(9, thickness, 1.198)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002181)", "SCALE_PARAM(8, thickness, 1.582)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_458", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001622)", "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002000)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001658)", "SCALE_PARAM(all_members, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_459", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.422)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "SCALE_PARAM(5, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_460", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.623)", "SCALE_PARAM(6, thickness, 1.462)", "SCALE_PARAM(8, thickness, 1.350)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.176)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(2, thickness, 1.502)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_461", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001077)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_462", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.626)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(8, thickness, 1.274)", "SCALE_PARAM(3, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.117)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_463", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(7, thickness, 1.190)", "SCALE_PARAM(3, thickness, 1.376)", "SCALE_PARAM(9, thickness, 1.221)", "SCALE_PARAM(1, thickness, 1.314)", "SCALE_PARAM(7, thickness, 1.445)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_464", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.189)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001240)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003635)", "SCALE_PARAM(3, thickness, 1.486)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_465", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001807)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(8, thickness, 1.224)", "SCALE_PARAM(6, thickness, 1.618)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_466", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(0, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(3, thickness, 1.661)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.274)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_467", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.608)", "SCALE_PARAM(0, thickness, 1.443)", "SCALE_PARAM(0, thickness, 1.239)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004493)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(all_members, thickness, 1.131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_468", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_469", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.179)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002031)", "SCALE_PARAM(10, thickness, 1.567)", "SCALE_PARAM(0, thickness, 1.477)", "SCALE_PARAM(all_members, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_470", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.464)", "SCALE_PARAM(1, thickness, 1.227)", "SCALE_PARAM(5, thickness, 1.183)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "SCALE_PARAM(2, thickness, 1.212)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_471", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.490)", "SCALE_PARAM(5, thickness, 1.305)", "SCALE_PARAM(1, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_472", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.248)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001747)", "SCALE_PARAM(4, thickness, 1.575)", "SCALE_PARAM(all_members, thickness, 1.127)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_473", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002053)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004569)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(0, thickness, 1.618)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_474", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.353)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_475", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "SCALE_PARAM(8, thickness, 1.437)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_476", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.002124)", "SCALE_PARAM(6, thickness, 1.325)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002293)", "SCALE_PARAM(all_members, thickness, 1.119)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_477", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.179)", "SCALE_PARAM(6, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(all_members, thickness, 1.193)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_478", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.004446)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(10, thickness, 1.377)", "SCALE_PARAM(6, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_479", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001846)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002405)", "SCALE_PARAM(2, thickness, 1.376)", "SCALE_PARAM(all_members, thickness, 1.287)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_480", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.143)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.001651)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(8, thickness, 1.603)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001999)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.004804)", "SCALE_PARAM(all_members, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_481", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(9, thickness, 1.548)", "SCALE_PARAM(8, thickness, 1.603)", "SCALE_PARAM(5, thickness, 1.295)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001706)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(1, thickness, 1.447)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_482", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(9, thickness, 1.314)", "SCALE_PARAM(9, thickness, 1.477)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005153)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_483", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001487)", "SCALE_PARAM(7, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(0, thickness, 1.404)", "SCALE_PARAM(1, thickness, 1.490)", "SCALE_PARAM(3, thickness, 1.473)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_484", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.189)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002288)", "SCALE_PARAM(9, thickness, 1.387)", "SCALE_PARAM(all_members, thickness, 1.121)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_485", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001980)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001642)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002581)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(10, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_486", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001502)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(8, thickness, 1.269)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001458)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(3, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_487", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.513)", "SCALE_PARAM(4, thickness, 1.488)", "SCALE_PARAM(10, thickness, 1.344)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_488", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.003930)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003974)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_489", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.529)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_490", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.002565)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "SCALE_PARAM(1, thickness, 1.208)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_491", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.140)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.001640)", "SCALE_PARAM(3, thickness, 1.560)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(9, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9800000000000001 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_492", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.235)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_493", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001107)", "SCALE_PARAM(6, thickness, 1.637)", "SCALE_PARAM(1, thickness, 1.376)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.015395, 0.002566)", "SCALE_PARAM(0, thickness, 1.258)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.003096)", "SCALE_PARAM(7, thickness, 1.416)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.034247, 0.005708)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9533333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_494", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.558)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.005772)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.011816, 0.001969)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_495", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.235)", "SCALE_PARAM(10, thickness, 1.220)", "SCALE_PARAM(1, thickness, 1.295)", "SCALE_PARAM(9, thickness, 1.350)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(9, thickness, 1.603)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_496", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(1, thickness, 1.562)", "SCALE_PARAM(2, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_497", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001455)", "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002278)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.015390, 0.001888)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.175)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_498", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.014255, 0.001940)", "SCALE_PARAM(1, thickness, 1.258)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.018576, 0.002528)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(7, thickness, 1.385)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_097", "trace_id": "auto_problem_097_trace_499", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 97)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.38, 0.00) [free]\n J2: pos=(6.76, 0.00) [roller]\n J3: pos=(0.00, 3.45) [free]\n J4: pos=(3.38, 3.45) [free]\n J5: pos=(6.76, 3.45) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0265, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0118, t=0.0010)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0143, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0367, t=0.0048)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0342, t=0.0045)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0346, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0154, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n\nLOADING:\n Joint J3: Force=(0, -76985, 0) N\n Joint J4: Force=(0, -45702, 0) N\n Joint J5: Force=(0, -56759, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 245.58 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.350)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.034629, 0.003977)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(6, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(all_members, thickness, 1.136)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9933333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_0", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004158)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004465)", "SCALE_PARAM(all_members, thickness, 1.170)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_1", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003935)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004100)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(5, thickness, 1.297)", "SCALE_PARAM(1, thickness, 1.198)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_2", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001830)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.168)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_3", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.208)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.002878)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.134)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_4", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.232)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004609)", "SCALE_PARAM(all_members, thickness, 1.168)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_5", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003973)", "SCALE_PARAM(8, thickness, 1.590)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004267)", "SCALE_PARAM(all_members, thickness, 1.224)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_6", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003158)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(10, thickness, 1.256)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_7", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(0, thickness, 1.326)", "SCALE_PARAM(8, thickness, 1.590)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003127)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(0, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_8", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.425)", "SCALE_PARAM(5, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(10, thickness, 1.420)", "SCALE_PARAM(all_members, thickness, 1.167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_9", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.279)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003299)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(0, thickness, 1.252)", "SCALE_PARAM(2, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_10", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003314)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003086)", "SCALE_PARAM(all_members, thickness, 1.316)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002760)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004492)", "SCALE_PARAM(all_members, thickness, 1.198)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_11", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001590)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002511)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(1, thickness, 1.610)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_12", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.511)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(0, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_13", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002649)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(6, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_14", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005585)", "SCALE_PARAM(7, thickness, 1.541)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(7, thickness, 1.302)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_15", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(5, thickness, 1.312)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(5, thickness, 1.393)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_16", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003597)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003090)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.261)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(4, thickness, 1.502)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_17", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.361)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(7, thickness, 1.379)", "SCALE_PARAM(3, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_18", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.233)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001723)", "SCALE_PARAM(4, thickness, 1.634)", "SCALE_PARAM(3, thickness, 1.340)", "SCALE_PARAM(all_members, thickness, 1.175)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_19", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(3, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.235)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_20", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002565)", "SCALE_PARAM(2, thickness, 1.639)", "SCALE_PARAM(all_members, thickness, 1.157)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_21", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.439)", "SCALE_PARAM(2, thickness, 1.656)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002499)", "SCALE_PARAM(9, thickness, 1.193)", "SCALE_PARAM(6, thickness, 1.447)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004662)", "SCALE_PARAM(all_members, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_22", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.149)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(0, thickness, 1.222)", "SCALE_PARAM(2, thickness, 1.359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_23", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(1, thickness, 1.332)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005021)", "SCALE_PARAM(all_members, thickness, 1.229)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_24", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.186)", "SCALE_PARAM(8, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(9, thickness, 1.225)", "SCALE_PARAM(0, thickness, 1.255)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_25", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(5, thickness, 1.416)", "SCALE_PARAM(2, thickness, 1.267)", "SCALE_PARAM(7, thickness, 1.479)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(9, thickness, 1.546)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_26", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "SCALE_PARAM(2, thickness, 1.441)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(3, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_27", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(all_members, thickness, 1.300)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005070)", "SCALE_PARAM(2, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_28", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(4, thickness, 1.287)", "SCALE_PARAM(8, thickness, 1.267)", "SCALE_PARAM(5, thickness, 1.326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_29", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(6, thickness, 1.357)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_30", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.458)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003769)", "SCALE_PARAM(0, thickness, 1.404)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002486)", "SCALE_PARAM(all_members, thickness, 1.330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_31", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005014)", "SCALE_PARAM(9, thickness, 1.608)", "SCALE_PARAM(6, thickness, 1.603)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004246)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(4, thickness, 1.206)", "SCALE_PARAM(3, thickness, 1.235)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_32", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(4, thickness, 1.395)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "SCALE_PARAM(4, thickness, 1.198)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_33", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_34", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(8, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_35", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "SCALE_PARAM(2, thickness, 1.353)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_36", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_37", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004314)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004632)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(5, thickness, 1.321)", "SCALE_PARAM(5, thickness, 1.522)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_38", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_39", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002817)", "SCALE_PARAM(2, thickness, 1.527)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005254)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005337)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_40", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.166)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002612)", "SCALE_PARAM(8, thickness, 1.387)", "SCALE_PARAM(0, thickness, 1.307)", "SCALE_PARAM(6, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_41", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(6, thickness, 1.410)", "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003351)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.139)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_42", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.189)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.003860)", "SCALE_PARAM(7, thickness, 1.185)", "SCALE_PARAM(5, thickness, 1.603)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_43", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.406)", "SCALE_PARAM(7, thickness, 1.610)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003971)", "SCALE_PARAM(all_members, thickness, 1.224)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_44", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.658)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_45", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.340)", "SCALE_PARAM(2, thickness, 1.595)", "SCALE_PARAM(9, thickness, 1.529)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_46", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.171)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_47", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.261)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_48", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.111)", "SCALE_PARAM(all_members, thickness, 1.134)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_49", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001790)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.171)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_50", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(1, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(8, thickness, 1.582)", "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.160)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_51", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.319)", "SCALE_PARAM(6, thickness, 1.546)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004757)", "SCALE_PARAM(7, thickness, 1.637)", "SCALE_PARAM(all_members, thickness, 1.318)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_52", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_53", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.603)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003280)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_54", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003531)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003190)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004045)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002169)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_55", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004784)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(2, thickness, 1.182)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "SCALE_PARAM(0, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_56", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.391)", "SCALE_PARAM(3, thickness, 1.359)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(8, thickness, 1.486)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "SCALE_PARAM(2, thickness, 1.372)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_57", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.634)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(5, thickness, 1.183)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004017)", "SCALE_PARAM(all_members, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_58", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.397)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003756)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(8, thickness, 1.468)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002937)", "SCALE_PARAM(all_members, thickness, 1.126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_59", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002134)", "SCALE_PARAM(9, thickness, 1.513)", "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_60", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(7, thickness, 1.227)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_61", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.190)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_62", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.221)", "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004129)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003730)", "SCALE_PARAM(7, thickness, 1.555)", "SCALE_PARAM(all_members, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_63", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.546)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(0, thickness, 1.353)", "SCALE_PARAM(5, thickness, 1.580)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002532)", "SCALE_PARAM(all_members, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_64", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002239)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.221)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "SCALE_PARAM(6, thickness, 1.215)", "SCALE_PARAM(0, thickness, 1.217)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_65", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003653)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(5, thickness, 1.258)", "SCALE_PARAM(1, thickness, 1.211)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(6, thickness, 1.529)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_66", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(3, thickness, 1.522)", "SCALE_PARAM(2, thickness, 1.605)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_67", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(3, thickness, 1.339)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003535)", "SCALE_PARAM(3, thickness, 1.376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_68", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.220)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(1, thickness, 1.543)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_69", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.395)", "SCALE_PARAM(2, thickness, 1.431)", "SCALE_PARAM(all_members, thickness, 1.116)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_70", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(10, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(3, thickness, 1.404)", "SCALE_PARAM(all_members, thickness, 1.170)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_71", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002848)", "SCALE_PARAM(1, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(6, thickness, 1.603)", "SCALE_PARAM(6, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_72", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.002330)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(8, thickness, 1.550)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_73", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.335)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004259)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(7, thickness, 1.488)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_74", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.221)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004953)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(7, thickness, 1.318)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_75", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.321)", "SCALE_PARAM(3, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.168)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_76", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(4, thickness, 1.399)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004178)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(5, thickness, 1.241)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_77", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004821)", "SCALE_PARAM(8, thickness, 1.546)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002961)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005523)", "SCALE_PARAM(all_members, thickness, 1.116)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_78", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005475)", "SCALE_PARAM(1, thickness, 1.453)", "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_79", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005109)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(9, thickness, 1.335)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_80", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002473)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(3, thickness, 1.499)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004647)", "SCALE_PARAM(2, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.124)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_81", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.664)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.297)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_82", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.389)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "SCALE_PARAM(2, thickness, 1.562)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_83", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_84", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(7, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_85", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.385)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(4, thickness, 1.323)", "SCALE_PARAM(4, thickness, 1.395)", "SCALE_PARAM(6, thickness, 1.359)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_86", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003011)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(3, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(0, thickness, 1.319)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004306)", "SCALE_PARAM(all_members, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_87", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(0, thickness, 1.377)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_88", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.642)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(5, thickness, 1.422)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_89", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005070)", "SCALE_PARAM(0, thickness, 1.385)", "SCALE_PARAM(8, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(10, thickness, 1.276)", "SCALE_PARAM(1, thickness, 1.389)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_90", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.647)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(7, thickness, 1.527)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_91", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005471)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(8, thickness, 1.205)", "SCALE_PARAM(7, thickness, 1.404)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_92", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003732)", "SCALE_PARAM(7, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_93", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003502)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_94", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_95", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.359)", "SCALE_PARAM(5, thickness, 1.477)", "SCALE_PARAM(all_members, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_96", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002909)", "SCALE_PARAM(1, thickness, 1.460)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004279)", "SCALE_PARAM(1, thickness, 1.558)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005426)", "SCALE_PARAM(all_members, thickness, 1.136)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_97", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(3, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_98", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(6, thickness, 1.321)", "SCALE_PARAM(5, thickness, 1.529)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003370)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(9, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_99", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.111)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_100", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004077)", "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "SCALE_PARAM(2, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_101", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003052)", "SCALE_PARAM(3, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_102", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.379)", "SCALE_PARAM(7, thickness, 1.522)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_103", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(0, thickness, 1.543)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "SCALE_PARAM(10, thickness, 1.233)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_104", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003844)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(4, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.186)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_105", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_106", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(5, thickness, 1.433)", "SCALE_PARAM(all_members, thickness, 1.145)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_107", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(4, thickness, 1.536)", "SCALE_PARAM(9, thickness, 1.393)", "SCALE_PARAM(6, thickness, 1.412)", "SCALE_PARAM(all_members, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_108", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.297)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002817)", "SCALE_PARAM(1, thickness, 1.527)", "SCALE_PARAM(9, thickness, 1.437)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(2, thickness, 1.188)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_109", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003797)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002927)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(10, thickness, 1.524)", "SCALE_PARAM(9, thickness, 1.351)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_110", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003347)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003594)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(8, thickness, 1.565)", "SCALE_PARAM(5, thickness, 1.555)", "SCALE_PARAM(all_members, thickness, 1.209)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_111", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004726)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004270)", "SCALE_PARAM(all_members, thickness, 1.139)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(0, thickness, 1.490)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_112", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004088)", "SCALE_PARAM(5, thickness, 1.637)", "SCALE_PARAM(5, thickness, 1.193)", "SCALE_PARAM(8, thickness, 1.597)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004524)", "SCALE_PARAM(all_members, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_113", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.379)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(9, thickness, 1.346)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(1, thickness, 1.287)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_114", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(1, thickness, 1.285)", "SCALE_PARAM(0, thickness, 1.650)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "SCALE_PARAM(9, thickness, 1.447)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(2, thickness, 1.406)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_115", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.361)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(9, thickness, 1.572)", "SCALE_PARAM(6, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_116", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "SCALE_PARAM(7, thickness, 1.326)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_117", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002677)", "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003210)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_118", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.003655)", "SCALE_PARAM(10, thickness, 1.300)", "SCALE_PARAM(8, thickness, 1.616)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.144)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_119", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.366)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.189)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_120", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(7, thickness, 1.289)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_121", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(7, thickness, 1.285)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_122", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.445)", "SCALE_PARAM(2, thickness, 1.188)", "SCALE_PARAM(6, thickness, 1.253)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_123", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.130)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004240)", "SCALE_PARAM(all_members, thickness, 1.272)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002891)", "SCALE_PARAM(all_members, thickness, 1.144)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_124", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004269)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(1, thickness, 1.645)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(7, thickness, 1.255)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_125", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.570)", "SCALE_PARAM(6, thickness, 1.464)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(8, thickness, 1.475)", "SCALE_PARAM(2, thickness, 1.299)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_126", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(1, thickness, 1.490)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_127", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(7, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(1, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.131)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_128", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.297)", "SCALE_PARAM(3, thickness, 1.238)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(9, thickness, 1.639)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_129", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005436)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002869)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004671)", "SCALE_PARAM(0, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_130", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.182)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004873)", "SCALE_PARAM(all_members, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_131", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.272)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_132", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_133", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004750)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(2, thickness, 1.570)", "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_134", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(2, thickness, 1.300)", "SCALE_PARAM(0, thickness, 1.209)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003826)", "SCALE_PARAM(2, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_135", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.575)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(7, thickness, 1.548)", "SCALE_PARAM(all_members, thickness, 1.247)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005371)", "SCALE_PARAM(3, thickness, 1.580)", "SCALE_PARAM(all_members, thickness, 1.148)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_136", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003986)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(7, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_137", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.232)", "SCALE_PARAM(2, thickness, 1.348)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(10, thickness, 1.290)", "SCALE_PARAM(10, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.161)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_138", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.488)", "SCALE_PARAM(6, thickness, 1.355)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003342)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.130)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_139", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(8, thickness, 1.285)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_140", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.002886)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.002688)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(0, thickness, 1.541)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(6, thickness, 1.193)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_141", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.125)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_142", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.002489)", "SCALE_PARAM(2, thickness, 1.229)", "SCALE_PARAM(7, thickness, 1.637)", "SCALE_PARAM(5, thickness, 1.253)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003680)", "SCALE_PARAM(all_members, thickness, 1.321)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_143", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002874)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(all_members, thickness, 1.114)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004101)", "SCALE_PARAM(all_members, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_144", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002938)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(8, thickness, 1.348)", "SCALE_PARAM(8, thickness, 1.639)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_145", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004819)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004675)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005521)", "SCALE_PARAM(1, thickness, 1.267)", "SCALE_PARAM(0, thickness, 1.529)", "SCALE_PARAM(all_members, thickness, 1.117)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_146", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(8, thickness, 1.335)", "SCALE_PARAM(all_members, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_147", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(6, thickness, 1.196)", "SCALE_PARAM(1, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_148", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.131)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004141)", "SCALE_PARAM(all_members, thickness, 1.174)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005215)", "SCALE_PARAM(10, thickness, 1.202)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_149", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(8, thickness, 1.613)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "SCALE_PARAM(6, thickness, 1.416)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_150", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(5, thickness, 1.393)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_151", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.410)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "SCALE_PARAM(10, thickness, 1.468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_152", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.486)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_153", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002372)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(5, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.174)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005309)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_154", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.389)", "SCALE_PARAM(0, thickness, 1.416)", "SCALE_PARAM(all_members, thickness, 1.250)", "SCALE_PARAM(9, thickness, 1.285)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_155", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004088)", "SCALE_PARAM(0, thickness, 1.261)", "SCALE_PARAM(6, thickness, 1.618)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004391)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003967)", "SCALE_PARAM(9, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_156", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.178)", "SCALE_PARAM(10, thickness, 1.389)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(8, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_157", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.001555)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(3, thickness, 1.486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_158", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004709)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002485)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.003146)", "SCALE_PARAM(7, thickness, 1.473)", "SCALE_PARAM(all_members, thickness, 1.330)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_159", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.403)", "SCALE_PARAM(9, thickness, 1.527)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004216)", "SCALE_PARAM(all_members, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_160", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.230)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(6, thickness, 1.215)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_161", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.282)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002273)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004033)", "SCALE_PARAM(all_members, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_162", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.233)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(3, thickness, 1.429)", "SCALE_PARAM(5, thickness, 1.385)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(0, thickness, 1.274)", "SCALE_PARAM(10, thickness, 1.475)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_163", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.577)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003422)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004105)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_164", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004134)", "SCALE_PARAM(5, thickness, 1.379)", "SCALE_PARAM(6, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.112)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_165", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(6, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.326)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003727)", "SCALE_PARAM(all_members, thickness, 1.305)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_166", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002271)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(9, thickness, 1.548)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_167", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.002453)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_168", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(7, thickness, 1.637)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_169", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004205)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004966)", "SCALE_PARAM(4, thickness, 1.460)", "SCALE_PARAM(0, thickness, 1.447)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004334)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(1, thickness, 1.376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_170", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.182)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004220)", "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004393)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005113)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_171", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004777)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(all_members, thickness, 1.138)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_172", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004882)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004070)", "SCALE_PARAM(4, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_173", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.529)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.122)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_174", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(0, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002608)", "SCALE_PARAM(1, thickness, 1.410)", "SCALE_PARAM(10, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_175", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_176", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(8, thickness, 1.460)", "SCALE_PARAM(10, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_177", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003413)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.233)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004265)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_178", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.276)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004216)", "SCALE_PARAM(5, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(10, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_179", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003478)", "SCALE_PARAM(all_members, thickness, 1.272)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005310)", "SCALE_PARAM(all_members, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_180", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(3, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(5, thickness, 1.558)", "SCALE_PARAM(0, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_181", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(4, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_182", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.311)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003853)", "SCALE_PARAM(3, thickness, 1.176)", "SCALE_PARAM(4, thickness, 1.631)", "SCALE_PARAM(9, thickness, 1.355)", "SCALE_PARAM(10, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_183", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.543)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004469)", "SCALE_PARAM(0, thickness, 1.486)", "SCALE_PARAM(all_members, thickness, 1.168)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(8, thickness, 1.548)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_184", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(8, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004976)", "SCALE_PARAM(all_members, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_185", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004545)", "SCALE_PARAM(0, thickness, 1.220)", "SCALE_PARAM(2, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "SCALE_PARAM(6, thickness, 1.504)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_186", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(8, thickness, 1.190)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_187", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004079)", "SCALE_PARAM(8, thickness, 1.538)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004515)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(0, thickness, 1.198)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_188", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.175)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_189", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.462)", "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002962)", "SCALE_PARAM(all_members, thickness, 1.116)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_190", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.272)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(2, thickness, 1.307)", "SCALE_PARAM(0, thickness, 1.656)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_191", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003167)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(1, thickness, 1.460)", "SCALE_PARAM(8, thickness, 1.256)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003844)", "SCALE_PARAM(all_members, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_192", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004661)", "SCALE_PARAM(all_members, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_193", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002001)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002943)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.250)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_194", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002753)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(all_members, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_195", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001889)", "SCALE_PARAM(8, thickness, 1.397)", "SCALE_PARAM(5, thickness, 1.572)", "SCALE_PARAM(9, thickness, 1.414)", "SCALE_PARAM(all_members, thickness, 1.114)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(2, thickness, 1.504)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_196", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004534)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_197", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002429)", "SCALE_PARAM(1, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.198)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004277)", "SCALE_PARAM(0, thickness, 1.484)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_198", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004196)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(2, thickness, 1.466)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004129)", "SCALE_PARAM(all_members, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_199", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.613)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.168)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004454)", "SCALE_PARAM(all_members, thickness, 1.130)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004263)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_200", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.266)", "SCALE_PARAM(4, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_201", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003371)", "SCALE_PARAM(1, thickness, 1.239)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002134)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_202", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004110)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(3, thickness, 1.297)", "SCALE_PARAM(9, thickness, 1.493)", "SCALE_PARAM(all_members, thickness, 1.294)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(3, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_203", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003478)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(8, thickness, 1.613)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "SCALE_PARAM(6, thickness, 1.332)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_204", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.225)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002547)", "SCALE_PARAM(9, thickness, 1.368)", "SCALE_PARAM(0, thickness, 1.239)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004022)", "SCALE_PARAM(all_members, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_205", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.565)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(5, thickness, 1.198)", "SCALE_PARAM(6, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_206", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.282)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_207", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_208", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004041)", "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_209", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "SCALE_PARAM(6, thickness, 1.319)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "SCALE_PARAM(4, thickness, 1.613)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_210", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_211", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003421)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003674)", "SCALE_PARAM(all_members, thickness, 1.206)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004006)", "SCALE_PARAM(all_members, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_212", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.153)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002775)", "SCALE_PARAM(all_members, thickness, 1.192)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_213", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(7, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_214", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.280)", "SCALE_PARAM(1, thickness, 1.309)", "SCALE_PARAM(8, thickness, 1.292)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_215", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002903)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(3, thickness, 1.603)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_216", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(0, thickness, 1.220)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004604)", "SCALE_PARAM(7, thickness, 1.339)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(1, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_217", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005484)", "SCALE_PARAM(0, thickness, 1.276)", "SCALE_PARAM(7, thickness, 1.399)", "SCALE_PARAM(all_members, thickness, 1.143)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_218", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002501)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "SCALE_PARAM(0, thickness, 1.302)", "SCALE_PARAM(5, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_219", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.172)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(1, thickness, 1.479)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_220", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(2, thickness, 1.504)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(6, thickness, 1.456)", "SCALE_PARAM(5, thickness, 1.383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_221", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002414)", "SCALE_PARAM(0, thickness, 1.401)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(6, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_222", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004064)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(0, thickness, 1.481)", "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.115)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_223", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.304)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003972)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(10, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_224", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_225", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.603)", "SCALE_PARAM(4, thickness, 1.647)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004706)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(9, thickness, 1.323)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_226", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(4, thickness, 1.266)", "SCALE_PARAM(5, thickness, 1.209)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_227", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.190)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004926)", "SCALE_PARAM(6, thickness, 1.252)", "SCALE_PARAM(0, thickness, 1.328)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_228", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(4, thickness, 1.385)", "SCALE_PARAM(7, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_229", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.192)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002293)", "SCALE_PARAM(9, thickness, 1.445)", "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004878)", "SCALE_PARAM(5, thickness, 1.340)", "SCALE_PARAM(all_members, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_230", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002526)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(2, thickness, 1.256)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_231", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(8, thickness, 1.196)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_232", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004264)", "SCALE_PARAM(1, thickness, 1.443)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004579)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(9, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_233", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.433)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "SCALE_PARAM(4, thickness, 1.425)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_234", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.590)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(all_members, thickness, 1.121)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(7, thickness, 1.362)", "SCALE_PARAM(7, thickness, 1.553)", "SCALE_PARAM(3, thickness, 1.404)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_235", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002497)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(7, thickness, 1.477)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(9, thickness, 1.353)", "SCALE_PARAM(1, thickness, 1.582)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_236", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "SCALE_PARAM(8, thickness, 1.381)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_237", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.466)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(5, thickness, 1.502)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_238", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002727)", "SCALE_PARAM(all_members, thickness, 1.261)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003543)", "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.175)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_239", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.449)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(8, thickness, 1.451)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_240", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005113)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004330)", "SCALE_PARAM(all_members, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_241", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004732)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003945)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_242", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.001716)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.001843)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_243", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.002664)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004935)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004858)", "SCALE_PARAM(all_members, thickness, 1.269)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "SCALE_PARAM(8, thickness, 1.592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_244", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.221)", "SCALE_PARAM(3, thickness, 1.484)", "SCALE_PARAM(all_members, thickness, 1.203)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004569)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002892)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(10, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_245", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.634)", "SCALE_PARAM(all_members, thickness, 1.167)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003621)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(1, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.316)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_246", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.272)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_247", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.135)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002206)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_248", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004597)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004412)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004281)", "SCALE_PARAM(all_members, thickness, 1.136)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_249", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_250", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_251", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002643)", "SCALE_PARAM(all_members, thickness, 1.250)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(2, thickness, 1.344)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_252", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(0, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_253", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002925)", "SCALE_PARAM(0, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(5, thickness, 1.585)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_254", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(4, thickness, 1.608)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_255", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "SCALE_PARAM(7, thickness, 1.235)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_256", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003620)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_257", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "SCALE_PARAM(6, thickness, 1.473)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_258", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.002660)", "SCALE_PARAM(2, thickness, 1.416)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(3, thickness, 1.403)", "SCALE_PARAM(6, thickness, 1.339)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_259", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(9, thickness, 1.490)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_260", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002588)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003431)", "SCALE_PARAM(0, thickness, 1.437)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004826)", "SCALE_PARAM(8, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_261", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(6, thickness, 1.328)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_262", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005304)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004243)", "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_263", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(8, thickness, 1.385)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.002850)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_264", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(0, thickness, 1.239)", "SCALE_PARAM(10, thickness, 1.385)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_265", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.153)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004352)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(2, thickness, 1.437)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_266", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004479)", "SCALE_PARAM(7, thickness, 1.202)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_267", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(7, thickness, 1.418)", "SCALE_PARAM(all_members, thickness, 1.174)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_268", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.202)", "SCALE_PARAM(7, thickness, 1.475)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(4, thickness, 1.577)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_269", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(7, thickness, 1.582)", "SCALE_PARAM(all_members, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_270", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003222)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004242)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(6, thickness, 1.468)", "SCALE_PARAM(3, thickness, 1.189)", "SCALE_PARAM(4, thickness, 1.513)", "SCALE_PARAM(1, thickness, 1.473)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_271", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.433)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003953)", "SCALE_PARAM(2, thickness, 1.179)", "SCALE_PARAM(3, thickness, 1.582)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004742)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(5, thickness, 1.517)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_272", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003283)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(0, thickness, 1.493)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003855)", "SCALE_PARAM(6, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_273", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_274", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(0, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(7, thickness, 1.541)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_275", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_276", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.156)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004081)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(4, thickness, 1.284)", "SCALE_PARAM(1, thickness, 1.481)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_277", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003450)", "SCALE_PARAM(7, thickness, 1.565)", "SCALE_PARAM(1, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(5, thickness, 1.477)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(4, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_278", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.449)", "SCALE_PARAM(8, thickness, 1.439)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004972)", "SCALE_PARAM(all_members, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_279", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(9, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.117)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_280", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004784)", "SCALE_PARAM(7, thickness, 1.595)", "SCALE_PARAM(3, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.125)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_281", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(0, thickness, 1.304)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "SCALE_PARAM(6, thickness, 1.344)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_282", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.289)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003103)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004806)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(9, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_283", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.471)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_284", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.397)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.209)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005538)", "SCALE_PARAM(all_members, thickness, 1.114)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_285", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004798)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003307)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004335)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005584)", "SCALE_PARAM(2, thickness, 1.351)", "SCALE_PARAM(all_members, thickness, 1.122)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_286", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002493)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(all_members, thickness, 1.133)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(10, thickness, 1.443)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_287", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(5, thickness, 1.441)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(4, thickness, 1.562)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(5, thickness, 1.634)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_288", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(0, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_289", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.376)", "SCALE_PARAM(8, thickness, 1.252)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002860)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004207)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(10, thickness, 1.647)", "SCALE_PARAM(9, thickness, 1.198)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_290", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.370)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(7, thickness, 1.379)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_291", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.473)", "SCALE_PARAM(all_members, thickness, 1.297)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_292", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(2, thickness, 1.565)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "SCALE_PARAM(1, thickness, 1.383)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_293", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003369)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.192)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004343)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(8, thickness, 1.613)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_294", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.366)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003121)", "SCALE_PARAM(2, thickness, 1.414)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003028)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.139)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_295", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004709)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(1, thickness, 1.486)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_296", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.531)", "SCALE_PARAM(0, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.318)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_297", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.513)", "SCALE_PARAM(7, thickness, 1.235)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002187)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003217)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(all_members, thickness, 1.333)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_298", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(0, thickness, 1.546)", "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_299", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.431)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_300", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.553)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004731)", "SCALE_PARAM(4, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.138)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(7, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_301", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003328)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002263)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.151)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_302", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.330)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003334)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(1, thickness, 1.412)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_303", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(10, thickness, 1.445)", "SCALE_PARAM(3, thickness, 1.481)", "SCALE_PARAM(all_members, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_304", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.462)", "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005160)", "SCALE_PARAM(4, thickness, 1.582)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004006)", "SCALE_PARAM(all_members, thickness, 1.214)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_305", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003769)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.151)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_306", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.209)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004072)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004243)", "SCALE_PARAM(4, thickness, 1.439)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002686)", "SCALE_PARAM(all_members, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_307", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003947)", "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_308", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.196)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003561)", "SCALE_PARAM(9, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(5, thickness, 1.185)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004966)", "SCALE_PARAM(all_members, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_309", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.248)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004544)", "SCALE_PARAM(5, thickness, 1.418)", "SCALE_PARAM(7, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(7, thickness, 1.351)", "SCALE_PARAM(0, thickness, 1.587)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_310", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004297)", "SCALE_PARAM(4, thickness, 1.362)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.134)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_311", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.527)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004133)", "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(4, thickness, 1.590)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_312", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.112)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_313", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(8, thickness, 1.560)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(2, thickness, 1.387)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_314", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.330)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "SCALE_PARAM(8, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_315", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005573)", "SCALE_PARAM(3, thickness, 1.623)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002941)", "SCALE_PARAM(all_members, thickness, 1.124)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_316", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003081)", "SCALE_PARAM(1, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(3, thickness, 1.245)", "SCALE_PARAM(6, thickness, 1.626)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_317", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.595)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004022)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(8, thickness, 1.427)", "SCALE_PARAM(2, thickness, 1.658)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_318", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.372)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003262)", "SCALE_PARAM(7, thickness, 1.239)", "SCALE_PARAM(8, thickness, 1.339)", "SCALE_PARAM(all_members, thickness, 1.125)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004108)", "SCALE_PARAM(all_members, thickness, 1.183)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_319", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001516)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.294)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_320", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.626)", "SCALE_PARAM(0, thickness, 1.548)", "SCALE_PARAM(all_members, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_321", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "SCALE_PARAM(4, thickness, 1.570)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_322", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(2, thickness, 1.520)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_323", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(5, thickness, 1.279)", "SCALE_PARAM(0, thickness, 1.490)", "SCALE_PARAM(all_members, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_324", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.235)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_325", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003657)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003927)", "SCALE_PARAM(all_members, thickness, 1.330)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_326", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002922)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.111)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_327", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(6, thickness, 1.658)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_328", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.203)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.001969)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(0, thickness, 1.538)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_329", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.524)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_330", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.002727)", "SCALE_PARAM(all_members, thickness, 1.233)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003263)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_331", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002883)", "SCALE_PARAM(6, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.147)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "SCALE_PARAM(0, thickness, 1.186)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_332", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001521)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(1, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(5, thickness, 1.567)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_333", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004017)", "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(6, thickness, 1.391)", "SCALE_PARAM(5, thickness, 1.538)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_334", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(4, thickness, 1.258)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_335", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002594)", "SCALE_PARAM(9, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_336", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "SCALE_PARAM(1, thickness, 1.536)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_337", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(2, thickness, 1.629)", "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_338", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(1, thickness, 1.403)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_339", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.274)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002766)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(6, thickness, 1.222)", "SCALE_PARAM(7, thickness, 1.307)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_340", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(10, thickness, 1.379)", "SCALE_PARAM(0, thickness, 1.497)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_341", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "SCALE_PARAM(2, thickness, 1.214)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_342", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(9, thickness, 1.266)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005068)", "SCALE_PARAM(7, thickness, 1.383)", "SCALE_PARAM(4, thickness, 1.460)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(1, thickness, 1.471)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_343", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(3, thickness, 1.401)", "SCALE_PARAM(7, thickness, 1.613)", "SCALE_PARAM(0, thickness, 1.221)", "SCALE_PARAM(1, thickness, 1.379)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_344", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.517)", "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_345", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(1, thickness, 1.608)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004319)", "SCALE_PARAM(all_members, thickness, 1.160)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_346", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.304)", "SCALE_PARAM(7, thickness, 1.253)", "SCALE_PARAM(4, thickness, 1.321)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_347", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.176)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003213)", "SCALE_PARAM(9, thickness, 1.626)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_348", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004213)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004390)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(9, thickness, 1.350)", "SCALE_PARAM(3, thickness, 1.247)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_349", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(5, thickness, 1.429)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004603)", "SCALE_PARAM(all_members, thickness, 1.170)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_350", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_351", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.357)", "SCALE_PARAM(2, thickness, 1.538)", "SCALE_PARAM(9, thickness, 1.188)", "SCALE_PARAM(0, thickness, 1.206)", "SCALE_PARAM(1, thickness, 1.656)", "SCALE_PARAM(2, thickness, 1.618)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_352", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(0, thickness, 1.340)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002741)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004329)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(0, thickness, 1.242)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_353", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.263)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(8, thickness, 1.631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_354", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.122)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_355", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002262)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(9, thickness, 1.196)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "SCALE_PARAM(0, thickness, 1.379)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_356", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.247)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004846)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004104)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(10, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_357", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(0, thickness, 1.502)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_358", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.220)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(8, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_359", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003772)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004051)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003888)", "SCALE_PARAM(8, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_360", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004501)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005625)", "SCALE_PARAM(all_members, thickness, 1.114)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_361", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005123)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004040)", "SCALE_PARAM(all_members, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_362", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.002560)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.199)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_363", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.381)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(5, thickness, 1.312)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004146)", "SCALE_PARAM(all_members, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_364", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004320)", "SCALE_PARAM(6, thickness, 1.357)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004639)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005399)", "SCALE_PARAM(all_members, thickness, 1.160)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_365", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.364)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(4, thickness, 1.211)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002953)", "SCALE_PARAM(all_members, thickness, 1.120)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_366", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_367", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.618)", "SCALE_PARAM(3, thickness, 1.404)", "SCALE_PARAM(4, thickness, 1.466)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_368", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004274)", "SCALE_PARAM(5, thickness, 1.560)", "SCALE_PARAM(1, thickness, 1.484)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.121)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_369", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004621)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(7, thickness, 1.541)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_370", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(4, thickness, 1.385)", "SCALE_PARAM(all_members, thickness, 1.174)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004455)", "SCALE_PARAM(all_members, thickness, 1.208)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_371", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(6, thickness, 1.205)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004264)", "SCALE_PARAM(9, thickness, 1.493)", "SCALE_PARAM(all_members, thickness, 1.263)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_372", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(9, thickness, 1.639)", "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.003833)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(7, thickness, 1.233)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_373", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(1, thickness, 1.383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_374", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.377)", "SCALE_PARAM(0, thickness, 1.337)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003766)", "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_375", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.468)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004536)", "SCALE_PARAM(all_members, thickness, 1.151)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_376", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(0, thickness, 1.618)", "SCALE_PARAM(7, thickness, 1.321)", "SCALE_PARAM(4, thickness, 1.570)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_377", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.166)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003223)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_378", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(0, thickness, 1.183)", "SCALE_PARAM(3, thickness, 1.376)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_379", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(1, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.134)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_380", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.311)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004488)", "SCALE_PARAM(all_members, thickness, 1.117)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_381", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(2, thickness, 1.383)", "SCALE_PARAM(1, thickness, 1.475)", "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_382", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.171)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004370)", "SCALE_PARAM(all_members, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_383", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(1, thickness, 1.311)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004616)", "SCALE_PARAM(10, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(1, thickness, 1.287)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_384", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.221)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004607)", "SCALE_PARAM(all_members, thickness, 1.168)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_385", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(7, thickness, 1.408)", "SCALE_PARAM(all_members, thickness, 1.127)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_386", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.431)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004256)", "SCALE_PARAM(7, thickness, 1.391)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(4, thickness, 1.431)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_387", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003902)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.003938)", "SCALE_PARAM(7, thickness, 1.565)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_388", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003721)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(6, thickness, 1.567)", "SCALE_PARAM(all_members, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_389", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.353)", "SCALE_PARAM(3, thickness, 1.585)", "SCALE_PARAM(9, thickness, 1.335)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(0, thickness, 1.292)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_390", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(3, thickness, 1.536)", "SCALE_PARAM(8, thickness, 1.225)", "SCALE_PARAM(0, thickness, 1.364)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(1, thickness, 1.346)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_391", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004277)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003865)", "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_392", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(5, thickness, 1.311)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_393", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.299)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(7, thickness, 1.364)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_394", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003447)", "SCALE_PARAM(8, thickness, 1.443)", "SCALE_PARAM(all_members, thickness, 1.259)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "SCALE_PARAM(2, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_395", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004440)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002727)", "SCALE_PARAM(2, thickness, 1.410)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004134)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004307)", "SCALE_PARAM(all_members, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_396", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.314)", "SCALE_PARAM(0, thickness, 1.389)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.175)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_397", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(7, thickness, 1.656)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_398", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(1, thickness, 1.395)", "SCALE_PARAM(7, thickness, 1.361)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004432)", "SCALE_PARAM(all_members, thickness, 1.178)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_399", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.279)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "SCALE_PARAM(6, thickness, 1.664)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(0, thickness, 1.387)", "SCALE_PARAM(8, thickness, 1.645)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_400", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.002296)", "SCALE_PARAM(1, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(9, thickness, 1.271)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003270)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.272)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_401", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(0, thickness, 1.451)", "SCALE_PARAM(all_members, thickness, 1.314)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(7, thickness, 1.381)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_402", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(all_members, thickness, 1.230)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004207)", "SCALE_PARAM(all_members, thickness, 1.156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_403", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003733)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(3, thickness, 1.259)", "SCALE_PARAM(0, thickness, 1.189)", "SCALE_PARAM(0, thickness, 1.387)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_404", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.304)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002424)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003675)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003830)", "SCALE_PARAM(all_members, thickness, 1.157)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005320)", "SCALE_PARAM(all_members, thickness, 1.178)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_405", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.381)", "SCALE_PARAM(4, thickness, 1.468)", "SCALE_PARAM(all_members, thickness, 1.284)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_406", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.427)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003447)", "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004965)", "SCALE_PARAM(all_members, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_407", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.305)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001838)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.002786)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.171)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_408", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005043)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(7, thickness, 1.527)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_409", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(4, thickness, 1.608)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.276)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_410", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "SCALE_PARAM(4, thickness, 1.631)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_411", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "SCALE_PARAM(0, thickness, 1.195)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_412", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.366)", "SCALE_PARAM(all_members, thickness, 1.112)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(4, thickness, 1.600)", "SCALE_PARAM(7, thickness, 1.493)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_413", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(9, thickness, 1.471)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_414", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002235)", "SCALE_PARAM(7, thickness, 1.280)", "SCALE_PARAM(9, thickness, 1.479)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_415", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(4, thickness, 1.242)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005324)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002810)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004575)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_416", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003483)", "SCALE_PARAM(1, thickness, 1.479)", "SCALE_PARAM(all_members, thickness, 1.294)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004838)", "SCALE_PARAM(all_members, thickness, 1.112)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_417", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(0, thickness, 1.236)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(9, thickness, 1.435)", "SCALE_PARAM(3, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_418", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.276)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_419", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005174)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_420", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001472)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.311)", "SCALE_PARAM(7, thickness, 1.305)", "SCALE_PARAM(4, thickness, 1.486)", "SCALE_PARAM(all_members, thickness, 1.229)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_421", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.393)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005016)", "SCALE_PARAM(0, thickness, 1.361)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(7, thickness, 1.230)", "SCALE_PARAM(3, thickness, 1.297)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_422", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002229)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003729)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(3, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(8, thickness, 1.623)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_423", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(7, thickness, 1.479)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004173)", "SCALE_PARAM(all_members, thickness, 1.166)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_424", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "SCALE_PARAM(3, thickness, 1.176)", "SCALE_PARAM(7, thickness, 1.379)", "SCALE_PARAM(9, thickness, 1.304)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_425", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002236)", "SCALE_PARAM(all_members, thickness, 1.224)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005187)", "SCALE_PARAM(0, thickness, 1.567)", "SCALE_PARAM(all_members, thickness, 1.208)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_426", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003076)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003844)", "SCALE_PARAM(5, thickness, 1.479)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002029)", "SCALE_PARAM(all_members, thickness, 1.314)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004341)", "SCALE_PARAM(all_members, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_427", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_428", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(0, thickness, 1.326)", "SCALE_PARAM(9, thickness, 1.572)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_429", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.420)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(4, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_430", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.263)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "SCALE_PARAM(0, thickness, 1.328)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "SCALE_PARAM(0, thickness, 1.645)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_431", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004181)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004790)", "SCALE_PARAM(all_members, thickness, 1.287)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_432", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002572)", "SCALE_PARAM(0, thickness, 1.200)", "SCALE_PARAM(6, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(7, thickness, 1.178)", "SCALE_PARAM(all_members, thickness, 1.142)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_433", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004449)", "SCALE_PARAM(6, thickness, 1.484)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005337)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005253)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_434", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(0, thickness, 1.244)", "SCALE_PARAM(7, thickness, 1.239)", "SCALE_PARAM(9, thickness, 1.597)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_435", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(1, thickness, 1.473)", "SCALE_PARAM(10, thickness, 1.300)", "SCALE_PARAM(7, thickness, 1.441)", "SCALE_PARAM(all_members, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_436", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.608)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_437", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(2, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_438", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.126)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003479)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(8, thickness, 1.188)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_439", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.189)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004063)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004710)", "SCALE_PARAM(all_members, thickness, 1.143)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_440", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "SCALE_PARAM(6, thickness, 1.497)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_441", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003876)", "SCALE_PARAM(0, thickness, 1.355)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002557)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_442", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004051)", "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_443", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003186)", "SCALE_PARAM(4, thickness, 1.429)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(2, thickness, 1.337)", "SCALE_PARAM(all_members, thickness, 1.215)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_444", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003917)", "SCALE_PARAM(all_members, thickness, 1.333)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "SCALE_PARAM(1, thickness, 1.661)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "SCALE_PARAM(0, thickness, 1.577)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_445", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003880)", "SCALE_PARAM(all_members, thickness, 1.292)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_446", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(0, thickness, 1.497)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003401)", "SCALE_PARAM(9, thickness, 1.536)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_447", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "SCALE_PARAM(0, thickness, 1.431)", "SCALE_PARAM(3, thickness, 1.529)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_448", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.295)", "SCALE_PARAM(2, thickness, 1.466)", "SCALE_PARAM(6, thickness, 1.431)", "SCALE_PARAM(9, thickness, 1.253)", "SCALE_PARAM(5, thickness, 1.458)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(10, thickness, 1.653)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_449", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(4, thickness, 1.342)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(2, thickness, 1.490)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.147)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_450", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004695)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004839)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002973)", "SCALE_PARAM(4, thickness, 1.353)", "SCALE_PARAM(all_members, thickness, 1.112)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_451", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.653)", "SCALE_PARAM(all_members, thickness, 1.295)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002669)", "SCALE_PARAM(all_members, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_452", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(5, thickness, 1.486)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_453", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004383)", "SCALE_PARAM(9, thickness, 1.522)", "SCALE_PARAM(0, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.144)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_454", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.414)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(3, thickness, 1.637)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_455", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.488)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(1, thickness, 1.656)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_456", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.198)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004449)", "SCALE_PARAM(all_members, thickness, 1.140)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "SCALE_PARAM(7, thickness, 1.215)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_457", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.261)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004578)", "SCALE_PARAM(all_members, thickness, 1.140)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_458", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003884)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(3, thickness, 1.645)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_459", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.294)", "SCALE_PARAM(3, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.117)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_460", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.346)", "SCALE_PARAM(2, thickness, 1.610)", "SCALE_PARAM(all_members, thickness, 1.326)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002846)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_461", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(1, thickness, 1.422)", "SCALE_PARAM(4, thickness, 1.302)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_462", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002583)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004251)", "SCALE_PARAM(3, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.178)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004369)", "SCALE_PARAM(all_members, thickness, 1.232)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_463", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003487)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004441)", "SCALE_PARAM(all_members, thickness, 1.212)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "SCALE_PARAM(2, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_464", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.190)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002482)", "SCALE_PARAM(5, thickness, 1.332)", "SCALE_PARAM(1, thickness, 1.562)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_465", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.309)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004328)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(2, thickness, 1.372)", "SCALE_PARAM(all_members, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_466", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.252)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002880)", "SCALE_PARAM(10, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(3, thickness, 1.412)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_467", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.138)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_468", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.473)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(8, thickness, 1.377)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004430)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(7, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_469", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004345)", "SCALE_PARAM(2, thickness, 1.368)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004216)", "SCALE_PARAM(1, thickness, 1.458)", "SCALE_PARAM(5, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.239)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_470", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(6, thickness, 1.221)", "SCALE_PARAM(all_members, thickness, 1.134)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_471", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "SCALE_PARAM(0, thickness, 1.524)", "SCALE_PARAM(5, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_472", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(9, thickness, 1.524)", "SCALE_PARAM(6, thickness, 1.435)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_473", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005072)", "SCALE_PARAM(4, thickness, 1.548)", "SCALE_PARAM(all_members, thickness, 1.235)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_474", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003205)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_475", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.431)", "SCALE_PARAM(8, thickness, 1.202)", "SCALE_PARAM(4, thickness, 1.403)", "SCALE_PARAM(1, thickness, 1.570)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_476", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002017)", "SCALE_PARAM(5, thickness, 1.294)", "SCALE_PARAM(all_members, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_477", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001997)", "SCALE_PARAM(4, thickness, 1.548)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(4, thickness, 1.562)", "SCALE_PARAM(all_members, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_478", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003436)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(all_members, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_479", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(0, thickness, 1.383)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003472)", "SCALE_PARAM(all_members, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.171)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)", "SCALE_PARAM(0, thickness, 1.511)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_480", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.001534)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_481", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004475)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004167)", "SCALE_PARAM(1, thickness, 1.595)", "SCALE_PARAM(all_members, thickness, 1.203)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_482", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003224)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003462)", "SCALE_PARAM(0, thickness, 1.217)", "SCALE_PARAM(7, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.203)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_483", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.215)", "SCALE_PARAM(7, thickness, 1.312)", "SCALE_PARAM(0, thickness, 1.642)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(6, thickness, 1.560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_484", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003276)", "SCALE_PARAM(9, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.292)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_485", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "SCALE_PARAM(8, thickness, 1.299)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003596)", "SCALE_PARAM(8, thickness, 1.410)", "SCALE_PARAM(2, thickness, 1.393)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_486", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(9, thickness, 1.422)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.332)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_487", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)", "SCALE_PARAM(6, thickness, 1.592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_488", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "SCALE_PARAM(0, thickness, 1.221)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_489", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.300)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004893)", "SCALE_PARAM(7, thickness, 1.242)", "SCALE_PARAM(7, thickness, 1.534)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(4, thickness, 1.661)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_490", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(4, thickness, 1.241)", "SCALE_PARAM(4, thickness, 1.242)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_491", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.502)", "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)", "SCALE_PARAM(1, thickness, 1.215)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_492", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.458)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004806)", "SCALE_PARAM(all_members, thickness, 1.304)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_493", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003364)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(9, thickness, 1.203)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(all_members, thickness, 1.129)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_494", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(3, thickness, 1.621)", "SCALE_PARAM(0, thickness, 1.328)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004030)", "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)", "SCALE_PARAM(9, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_495", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(1, thickness, 1.621)", "SCALE_PARAM(all_members, thickness, 1.206)", "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)", "SCALE_PARAM(5, thickness, 1.585)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_496", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(2, thickness, 1.309)", "SCALE_PARAM(8, thickness, 1.391)", "SCALE_PARAM(5, thickness, 1.412)", "SCALE_PARAM(all_members, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_497", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004311)", "SCALE_PARAM(all_members, thickness, 1.290)", "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004450)", "SCALE_PARAM(0, thickness, 1.412)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004318)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002935)", "SCALE_PARAM(all_members, thickness, 1.126)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_498", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.629)", "SCALE_PARAM(0, thickness, 1.370)", "SCALE_PARAM(8, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_098", "trace_id": "auto_problem_098_trace_499", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 322.55 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 0, "fos_buckling": 0, "fos_yielding": 0, "deflection": Infinity, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001473)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003247)", "SCALE_PARAM(5, thickness, 1.499)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.149)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_0", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004671)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(1, thickness, 1.241)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_1", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.261)", "SCALE_PARAM(10, thickness, 1.209)", "SCALE_PARAM(2, thickness, 1.272)", "SCALE_PARAM(7, thickness, 1.404)", "SCALE_PARAM(12, thickness, 1.534)", "SCALE_PARAM(all_members, thickness, 1.126)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_2", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.456)", "SCALE_PARAM(all_members, thickness, 1.318)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004440)", "SCALE_PARAM(all_members, thickness, 1.259)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_3", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.565)", "SCALE_PARAM(7, thickness, 1.311)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003887)", "SCALE_PARAM(12, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_4", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.189)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_5", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.214)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003157)", "SCALE_PARAM(9, thickness, 1.420)", "SCALE_PARAM(all_members, thickness, 1.127)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_6", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.449)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003449)", "SCALE_PARAM(14, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_7", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.393)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "SCALE_PARAM(5, thickness, 1.546)", "SCALE_PARAM(6, thickness, 1.385)", "SCALE_PARAM(8, thickness, 1.490)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_8", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.167)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.001919)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(13, thickness, 1.546)", "SCALE_PARAM(5, thickness, 1.408)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_9", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.294)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002531)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003804)", "SCALE_PARAM(13, thickness, 1.357)", "SCALE_PARAM(all_members, thickness, 1.148)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_10", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003008)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001987)", "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_11", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003330)", "SCALE_PARAM(14, thickness, 1.453)", "SCALE_PARAM(all_members, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_12", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.284)", "SCALE_PARAM(all_members, thickness, 1.316)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "SCALE_PARAM(10, thickness, 1.182)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_13", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.001754)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(5, thickness, 1.410)", "SCALE_PARAM(7, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_14", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001735)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "SCALE_PARAM(2, thickness, 1.575)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "SCALE_PARAM(3, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_15", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.493)", "SCALE_PARAM(4, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.155)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_16", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002655)", "SCALE_PARAM(1, thickness, 1.520)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(all_members, thickness, 1.309)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_17", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.111)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_18", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003012)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003518)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005008)", "SCALE_PARAM(all_members, thickness, 1.116)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_19", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.156)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_20", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.233)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_21", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(1, thickness, 1.603)", "SCALE_PARAM(3, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.314)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_22", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.562)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "SCALE_PARAM(7, thickness, 1.374)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_23", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.431)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003058)", "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_24", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.304)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "SCALE_PARAM(9, thickness, 1.590)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "SCALE_PARAM(15, thickness, 1.181)", "SCALE_PARAM(14, thickness, 1.182)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_25", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.376)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003970)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003002)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003683)", "SCALE_PARAM(13, thickness, 1.377)", "SCALE_PARAM(6, thickness, 1.458)", "SCALE_PARAM(all_members, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_26", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.186)", "SCALE_PARAM(8, thickness, 1.443)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(7, thickness, 1.471)", "SCALE_PARAM(12, thickness, 1.412)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_27", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.178)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "SCALE_PARAM(2, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_28", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002210)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001703)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.002644)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.255)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_29", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002262)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(1, thickness, 1.560)", "SCALE_PARAM(all_members, thickness, 1.190)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001997)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002331)", "SCALE_PARAM(all_members, thickness, 1.112)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_30", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(4, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_31", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004093)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003197)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.122)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "SCALE_PARAM(13, thickness, 1.326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_32", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_33", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003432)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003036)", "SCALE_PARAM(10, thickness, 1.555)", "SCALE_PARAM(all_members, thickness, 1.172)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_34", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.653)", "SCALE_PARAM(13, thickness, 1.508)", "SCALE_PARAM(4, thickness, 1.456)", "SCALE_PARAM(6, thickness, 1.399)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_35", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.230)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003376)", "SCALE_PARAM(all_members, thickness, 1.294)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_36", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.264)", "SCALE_PARAM(2, thickness, 1.389)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003529)", "SCALE_PARAM(7, thickness, 1.506)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003251)", "SCALE_PARAM(9, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_37", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002807)", "SCALE_PARAM(11, thickness, 1.515)", "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003579)", "SCALE_PARAM(12, thickness, 1.451)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(14, thickness, 1.305)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_38", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002472)", "SCALE_PARAM(12, thickness, 1.456)", "SCALE_PARAM(all_members, thickness, 1.198)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001956)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003846)", "SCALE_PARAM(all_members, thickness, 1.135)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_39", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001495)", "SCALE_PARAM(8, thickness, 1.451)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.001975)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(12, thickness, 1.346)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_40", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002501)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(4, thickness, 1.618)", "SCALE_PARAM(all_members, thickness, 1.183)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_41", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002979)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003300)", "SCALE_PARAM(6, thickness, 1.464)", "SCALE_PARAM(all_members, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_42", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001126)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(7, thickness, 1.538)", "SCALE_PARAM(all_members, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_43", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004115)", "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "SCALE_PARAM(2, thickness, 1.389)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_44", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(all_members, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_45", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.314)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002906)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003408)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003076)", "SCALE_PARAM(all_members, thickness, 1.157)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_46", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003169)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002862)", "SCALE_PARAM(6, thickness, 1.238)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002484)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_47", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.408)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(3, thickness, 1.460)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_48", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(all_members, thickness, 1.152)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003626)", "SCALE_PARAM(11, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.205)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_49", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(6, thickness, 1.229)", "SCALE_PARAM(1, thickness, 1.420)", "SCALE_PARAM(all_members, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_50", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.370)", "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "SCALE_PARAM(4, thickness, 1.618)", "SCALE_PARAM(5, thickness, 1.318)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_51", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002580)", "SCALE_PARAM(2, thickness, 1.332)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002481)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(3, thickness, 1.623)", "SCALE_PARAM(all_members, thickness, 1.121)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_52", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003453)", "SCALE_PARAM(all_members, thickness, 1.205)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001928)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.144)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_53", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "SCALE_PARAM(2, thickness, 1.299)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_54", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.242)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003101)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003629)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(7, thickness, 1.350)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_55", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002402)", "SCALE_PARAM(5, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.129)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003585)", "SCALE_PARAM(all_members, thickness, 1.314)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_56", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002024)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003411)", "SCALE_PARAM(all_members, thickness, 1.280)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_57", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.527)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003215)", "SCALE_PARAM(all_members, thickness, 1.227)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_58", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002959)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003540)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(4, thickness, 1.546)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_59", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.266)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004408)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002651)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002698)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(1, thickness, 1.404)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_60", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.225)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(6, thickness, 1.577)", "SCALE_PARAM(13, thickness, 1.318)", "SCALE_PARAM(11, thickness, 1.471)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_61", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(2, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003362)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(5, thickness, 1.473)", "SCALE_PARAM(6, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_62", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003484)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003756)", "SCALE_PARAM(all_members, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_63", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(2, thickness, 1.546)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003082)", "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001990)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003520)", "SCALE_PARAM(all_members, thickness, 1.116)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_64", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(6, thickness, 1.580)", "SCALE_PARAM(9, thickness, 1.359)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_65", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.156)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001275)", "SCALE_PARAM(0, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_66", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(0, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_67", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.267)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002116)", "SCALE_PARAM(all_members, thickness, 1.225)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "SCALE_PARAM(9, thickness, 1.287)", "SCALE_PARAM(8, thickness, 1.524)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_68", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(3, thickness, 1.379)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002730)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003146)", "SCALE_PARAM(all_members, thickness, 1.255)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_69", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(1, thickness, 1.511)", "SCALE_PARAM(all_members, thickness, 1.318)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004271)", "SCALE_PARAM(all_members, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_70", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003569)", "SCALE_PARAM(7, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_71", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003532)", "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_72", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.193)", "SCALE_PARAM(1, thickness, 1.276)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_73", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001693)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002714)", "SCALE_PARAM(1, thickness, 1.241)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001976)", "SCALE_PARAM(12, thickness, 1.418)", "SCALE_PARAM(all_members, thickness, 1.312)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_74", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.267)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002012)", "SCALE_PARAM(4, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.289)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_75", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.299)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003009)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.199)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_76", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "SCALE_PARAM(14, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_77", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.002419)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.001863)", "SCALE_PARAM(4, thickness, 1.582)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.160)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_78", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "SCALE_PARAM(11, thickness, 1.637)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "SCALE_PARAM(13, thickness, 1.570)", "SCALE_PARAM(13, thickness, 1.520)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_79", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002140)", "SCALE_PARAM(0, thickness, 1.247)", "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003103)", "SCALE_PARAM(all_members, thickness, 1.266)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_80", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "SCALE_PARAM(13, thickness, 1.481)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_81", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.271)", "SCALE_PARAM(8, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_82", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.416)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(0, thickness, 1.387)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_83", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.145)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002854)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003334)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003707)", "SCALE_PARAM(all_members, thickness, 1.178)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_84", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.127)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001012)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002613)", "SCALE_PARAM(all_members, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(3, thickness, 1.460)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_85", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.300)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_86", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.353)", "SCALE_PARAM(1, thickness, 1.387)", "SCALE_PARAM(13, thickness, 1.522)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_87", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002429)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_88", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.300)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002078)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(11, thickness, 1.401)", "SCALE_PARAM(all_members, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_89", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002803)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(1, thickness, 1.650)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003524)", "SCALE_PARAM(all_members, thickness, 1.115)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_90", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.631)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.274)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002595)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.192)", "SCALE_PARAM(3, thickness, 1.342)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_91", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(11, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_92", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.567)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_93", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(14, thickness, 1.192)", "SCALE_PARAM(3, thickness, 1.395)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003427)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_94", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001875)", "SCALE_PARAM(all_members, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_95", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.178)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003484)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(all_members, thickness, 1.134)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.001974)", "SCALE_PARAM(13, thickness, 1.570)", "SCALE_PARAM(all_members, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_96", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.333)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002693)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(all_members, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_97", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.332)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "SCALE_PARAM(3, thickness, 1.321)", "SCALE_PARAM(12, thickness, 1.443)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_98", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(all_members, thickness, 1.186)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001740)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002682)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(9, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_99", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "SCALE_PARAM(7, thickness, 1.185)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_100", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.209)", "SCALE_PARAM(11, thickness, 1.486)", "SCALE_PARAM(all_members, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_101", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.314)", "SCALE_PARAM(12, thickness, 1.577)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004661)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(8, thickness, 1.572)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_102", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002024)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.112)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_103", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.199)", "SCALE_PARAM(1, thickness, 1.340)", "SCALE_PARAM(all_members, thickness, 1.253)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "SCALE_PARAM(13, thickness, 1.565)", "SCALE_PARAM(2, thickness, 1.401)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_104", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(7, thickness, 1.443)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(all_members, thickness, 1.196)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "SCALE_PARAM(10, thickness, 1.441)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_105", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002023)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(all_members, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_106", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003893)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003051)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004984)", "SCALE_PARAM(all_members, thickness, 1.122)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_107", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(4, thickness, 1.524)", "SCALE_PARAM(12, thickness, 1.538)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002059)", "SCALE_PARAM(7, thickness, 1.631)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(6, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_108", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "SCALE_PARAM(7, thickness, 1.309)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_109", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.121)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002373)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.114)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_110", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.214)", "SCALE_PARAM(14, thickness, 1.299)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_111", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.462)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_112", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.217)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001993)", "SCALE_PARAM(all_members, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_113", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.001990)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.140)", "SCALE_PARAM(all_members, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_114", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004613)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002937)", "SCALE_PARAM(all_members, thickness, 1.212)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_115", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "SCALE_PARAM(1, thickness, 1.212)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_116", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "SCALE_PARAM(1, thickness, 1.199)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_117", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002963)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004218)", "SCALE_PARAM(all_members, thickness, 1.326)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002688)", "SCALE_PARAM(11, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_118", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(5, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.290)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003102)", "SCALE_PARAM(0, thickness, 1.524)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004103)", "SCALE_PARAM(all_members, thickness, 1.148)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_119", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(8, thickness, 1.618)", "SCALE_PARAM(13, thickness, 1.364)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_120", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(0, thickness, 1.597)", "SCALE_PARAM(all_members, thickness, 1.161)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_121", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002276)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003534)", "SCALE_PARAM(all_members, thickness, 1.139)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_122", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.422)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(12, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_123", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003721)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002208)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003033)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(2, thickness, 1.582)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_124", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.002982)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003330)", "SCALE_PARAM(10, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(11, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_125", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(9, thickness, 1.311)", "SCALE_PARAM(all_members, thickness, 1.300)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_126", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.379)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(all_members, thickness, 1.294)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_127", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_128", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.290)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001588)", "SCALE_PARAM(all_members, thickness, 1.266)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003121)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_129", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.605)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(6, thickness, 1.381)", "SCALE_PARAM(all_members, thickness, 1.134)", "SCALE_PARAM(9, thickness, 1.608)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_130", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001715)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002596)", "SCALE_PARAM(all_members, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_131", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.332)", "SCALE_PARAM(13, thickness, 1.316)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003883)", "SCALE_PARAM(7, thickness, 1.582)", "SCALE_PARAM(6, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(15, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_132", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_133", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.305)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001856)", "SCALE_PARAM(15, thickness, 1.443)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.142)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_134", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(9, thickness, 1.529)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002541)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(12, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_135", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.431)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_136", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002454)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(12, thickness, 1.229)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003466)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003128)", "SCALE_PARAM(15, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.138)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_137", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.002688)", "SCALE_PARAM(10, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.136)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_138", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.664)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(13, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(14, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_139", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003945)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002372)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(9, thickness, 1.271)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_140", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_141", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(2, thickness, 1.473)", "SCALE_PARAM(all_members, thickness, 1.252)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003254)", "SCALE_PARAM(all_members, thickness, 1.236)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_142", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.412)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002199)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002904)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003021)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003706)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(3, thickness, 1.209)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_143", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(9, thickness, 1.178)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_144", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(all_members, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.152)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_145", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.271)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_146", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_147", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.002968)", "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.002754)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.190)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_148", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004793)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002221)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(2, thickness, 1.335)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_149", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.353)", "SCALE_PARAM(8, thickness, 1.597)", "SCALE_PARAM(1, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(4, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_150", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002920)", "SCALE_PARAM(0, thickness, 1.353)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002869)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003365)", "SCALE_PARAM(0, thickness, 1.229)", "SCALE_PARAM(0, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.172)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_151", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.272)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003267)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003333)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(7, thickness, 1.515)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_152", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(14, thickness, 1.546)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_153", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002256)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002589)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.122)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_154", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.001886)", "SCALE_PARAM(8, thickness, 1.252)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(13, thickness, 1.330)", "SCALE_PARAM(6, thickness, 1.337)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_155", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003630)", "SCALE_PARAM(all_members, thickness, 1.297)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_156", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.236)", "SCALE_PARAM(8, thickness, 1.653)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(9, thickness, 1.193)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_157", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002196)", "SCALE_PARAM(0, thickness, 1.385)", "SCALE_PARAM(all_members, thickness, 1.181)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_158", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.267)", "SCALE_PARAM(14, thickness, 1.206)", "SCALE_PARAM(0, thickness, 1.610)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(14, thickness, 1.550)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_159", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002417)", "SCALE_PARAM(3, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_160", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "SCALE_PARAM(5, thickness, 1.595)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_161", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002232)", "SCALE_PARAM(all_members, thickness, 1.161)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_162", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002112)", "SCALE_PARAM(2, thickness, 1.517)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(10, thickness, 1.233)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_163", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001583)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(2, thickness, 1.558)", "SCALE_PARAM(13, thickness, 1.451)", "SCALE_PARAM(all_members, thickness, 1.269)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_164", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.359)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004124)", "SCALE_PARAM(6, thickness, 1.377)", "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_165", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003267)", "SCALE_PARAM(2, thickness, 1.486)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002779)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002104)", "SCALE_PARAM(all_members, thickness, 1.232)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_166", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.304)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001671)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "SCALE_PARAM(3, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_167", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.664)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "SCALE_PARAM(15, thickness, 1.429)", "SCALE_PARAM(13, thickness, 1.585)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_168", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.229)", "SCALE_PARAM(5, thickness, 1.339)", "SCALE_PARAM(all_members, thickness, 1.172)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.235)", "SCALE_PARAM(8, thickness, 1.255)", "SCALE_PARAM(1, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_169", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003388)", "SCALE_PARAM(1, thickness, 1.348)", "SCALE_PARAM(2, thickness, 1.471)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_170", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(all_members, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_171", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002641)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.002705)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(all_members, thickness, 1.290)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_172", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.453)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.114)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_173", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(15, thickness, 1.562)", "SCALE_PARAM(1, thickness, 1.585)", "SCALE_PARAM(1, thickness, 1.629)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_174", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(0, thickness, 1.597)", "SCALE_PARAM(all_members, thickness, 1.136)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "SCALE_PARAM(13, thickness, 1.642)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_175", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(12, thickness, 1.658)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003014)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(10, thickness, 1.309)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_176", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "SCALE_PARAM(10, thickness, 1.366)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_177", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.374)", "SCALE_PARAM(all_members, thickness, 1.212)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002217)", "SCALE_PARAM(4, thickness, 1.605)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_178", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.647)", "SCALE_PARAM(6, thickness, 1.475)", "SCALE_PARAM(13, thickness, 1.481)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002527)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_179", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.488)", "SCALE_PARAM(0, thickness, 1.203)", "SCALE_PARAM(15, thickness, 1.595)", "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(1, thickness, 1.212)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(5, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_180", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "SCALE_PARAM(10, thickness, 1.385)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_181", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(14, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(3, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_182", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.002804)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003292)", "SCALE_PARAM(10, thickness, 1.406)", "SCALE_PARAM(all_members, thickness, 1.193)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_183", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "SCALE_PARAM(0, thickness, 1.353)", "SCALE_PARAM(5, thickness, 1.314)", "SCALE_PARAM(13, thickness, 1.186)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_184", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.001906)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(8, thickness, 1.460)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(8, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_185", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.623)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003194)", "SCALE_PARAM(all_members, thickness, 1.276)", "SCALE_PARAM(all_members, thickness, 1.156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_186", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.346)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003335)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.172)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002207)", "SCALE_PARAM(6, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_187", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002778)", "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "SCALE_PARAM(5, thickness, 1.266)", "SCALE_PARAM(1, thickness, 1.318)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_188", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003391)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003146)", "SCALE_PARAM(15, thickness, 1.439)", "SCALE_PARAM(7, thickness, 1.527)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(2, thickness, 1.370)", "SCALE_PARAM(all_members, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_189", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002241)", "SCALE_PARAM(all_members, thickness, 1.156)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "SCALE_PARAM(9, thickness, 1.238)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_190", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.391)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(5, thickness, 1.181)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003323)", "SCALE_PARAM(6, thickness, 1.376)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002604)", "SCALE_PARAM(all_members, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_191", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001583)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(1, thickness, 1.637)", "SCALE_PARAM(all_members, thickness, 1.125)", "SCALE_PARAM(all_members, thickness, 1.208)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_192", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.244)", "SCALE_PARAM(2, thickness, 1.484)", "SCALE_PARAM(11, thickness, 1.271)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(3, thickness, 1.359)", "SCALE_PARAM(4, thickness, 1.443)", "SCALE_PARAM(12, thickness, 1.650)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_193", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "SCALE_PARAM(0, thickness, 1.531)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "SCALE_PARAM(2, thickness, 1.642)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_194", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004415)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(10, thickness, 1.195)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_195", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.541)", "SCALE_PARAM(8, thickness, 1.504)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(all_members, thickness, 1.161)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_196", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002943)", "SCALE_PARAM(3, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(9, thickness, 1.610)", "SCALE_PARAM(5, thickness, 1.214)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "SCALE_PARAM(4, thickness, 1.289)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_197", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.188)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.002480)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(10, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(3, thickness, 1.300)", "SCALE_PARAM(5, thickness, 1.412)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_198", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.229)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002967)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_199", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003356)", "SCALE_PARAM(all_members, thickness, 1.171)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "SCALE_PARAM(0, thickness, 1.353)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "SCALE_PARAM(2, thickness, 1.558)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_200", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.147)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.001885)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(9, thickness, 1.364)", "SCALE_PARAM(11, thickness, 1.527)", "SCALE_PARAM(6, thickness, 1.229)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_201", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.236)", "SCALE_PARAM(12, thickness, 1.577)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "SCALE_PARAM(4, thickness, 1.502)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_202", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.661)", "SCALE_PARAM(3, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.142)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003436)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(5, thickness, 1.562)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_203", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004334)", "SCALE_PARAM(6, thickness, 1.597)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003057)", "SCALE_PARAM(all_members, thickness, 1.290)", "SCALE_PARAM(10, thickness, 1.412)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_204", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.001409)", "SCALE_PARAM(all_members, thickness, 1.159)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004254)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(8, thickness, 1.250)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_205", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "SCALE_PARAM(2, thickness, 1.364)", "SCALE_PARAM(3, thickness, 1.460)", "SCALE_PARAM(14, thickness, 1.353)", "SCALE_PARAM(2, thickness, 1.613)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_206", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "SCALE_PARAM(3, thickness, 1.235)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "SCALE_PARAM(11, thickness, 1.383)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_207", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "SCALE_PARAM(6, thickness, 1.629)", "SCALE_PARAM(7, thickness, 1.342)", "SCALE_PARAM(11, thickness, 1.527)", "SCALE_PARAM(6, thickness, 1.531)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_208", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003341)", "SCALE_PARAM(1, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.166)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "SCALE_PARAM(9, thickness, 1.389)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_209", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.215)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "SCALE_PARAM(7, thickness, 1.362)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_210", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "SCALE_PARAM(12, thickness, 1.178)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_211", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "SCALE_PARAM(13, thickness, 1.637)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_212", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "SCALE_PARAM(12, thickness, 1.190)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_213", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001450)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002198)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_214", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.538)", "SCALE_PARAM(0, thickness, 1.361)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(12, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_215", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "SCALE_PARAM(7, thickness, 1.351)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_216", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003505)", "SCALE_PARAM(10, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.121)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_217", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.287)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002265)", "SCALE_PARAM(5, thickness, 1.179)", "SCALE_PARAM(10, thickness, 1.221)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002815)", "SCALE_PARAM(all_members, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_218", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003229)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003854)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001818)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002802)", "SCALE_PARAM(all_members, thickness, 1.221)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_219", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(14, thickness, 1.332)", "SCALE_PARAM(3, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_220", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003296)", "SCALE_PARAM(9, thickness, 1.437)", "SCALE_PARAM(15, thickness, 1.511)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_221", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(1, thickness, 1.462)", "SCALE_PARAM(all_members, thickness, 1.285)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_222", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.397)", "SCALE_PARAM(all_members, thickness, 1.259)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "SCALE_PARAM(12, thickness, 1.209)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "SCALE_PARAM(2, thickness, 1.399)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_223", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.232)", "SCALE_PARAM(14, thickness, 1.391)", "SCALE_PARAM(all_members, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_224", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003195)", "SCALE_PARAM(5, thickness, 1.471)", "SCALE_PARAM(0, thickness, 1.435)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003540)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(11, thickness, 1.486)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_225", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002050)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(2, thickness, 1.553)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "SCALE_PARAM(11, thickness, 1.449)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_226", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.577)", "SCALE_PARAM(1, thickness, 1.218)", "SCALE_PARAM(6, thickness, 1.280)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_227", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.490)", "SCALE_PARAM(5, thickness, 1.613)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003764)", "SCALE_PARAM(all_members, thickness, 1.160)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "SCALE_PARAM(7, thickness, 1.342)", "SCALE_PARAM(2, thickness, 1.236)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_228", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.340)", "SCALE_PARAM(2, thickness, 1.447)", "SCALE_PARAM(14, thickness, 1.597)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_229", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.272)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003187)", "SCALE_PARAM(7, thickness, 1.200)", "SCALE_PARAM(2, thickness, 1.468)", "SCALE_PARAM(all_members, thickness, 1.238)", "SCALE_PARAM(12, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_230", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "SCALE_PARAM(13, thickness, 1.248)", "SCALE_PARAM(8, thickness, 1.558)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_231", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(10, thickness, 1.233)", "SCALE_PARAM(8, thickness, 1.605)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004173)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003496)", "SCALE_PARAM(all_members, thickness, 1.129)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_232", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002248)", "SCALE_PARAM(all_members, thickness, 1.299)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003363)", "SCALE_PARAM(15, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.174)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_233", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.001871)", "SCALE_PARAM(all_members, thickness, 1.164)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "SCALE_PARAM(2, thickness, 1.389)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_234", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002719)", "SCALE_PARAM(7, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(11, thickness, 1.208)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_235", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003544)", "SCALE_PARAM(all_members, thickness, 1.114)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_236", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001909)", "SCALE_PARAM(all_members, thickness, 1.205)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003038)", "SCALE_PARAM(all_members, thickness, 1.127)", "SCALE_PARAM(12, thickness, 1.524)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_237", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.536)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(13, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_238", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.661)", "SCALE_PARAM(8, thickness, 1.277)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003397)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.318)", "SCALE_PARAM(3, thickness, 1.385)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_239", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(0, thickness, 1.543)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(12, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_240", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004380)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "SCALE_PARAM(15, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_241", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.316)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(2, thickness, 1.543)", "SCALE_PARAM(9, thickness, 1.321)", "SCALE_PARAM(all_members, thickness, 1.314)", "SCALE_PARAM(9, thickness, 1.527)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_242", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002425)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(13, thickness, 1.587)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_243", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.170)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003936)", "SCALE_PARAM(2, thickness, 1.661)", "SCALE_PARAM(14, thickness, 1.340)", "SCALE_PARAM(all_members, thickness, 1.196)", "SCALE_PARAM(5, thickness, 1.193)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_244", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.359)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "SCALE_PARAM(6, thickness, 1.256)", "SCALE_PARAM(8, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_245", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(12, thickness, 1.664)", "SCALE_PARAM(10, thickness, 1.285)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "SCALE_PARAM(0, thickness, 1.193)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_246", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.490)", "SCALE_PARAM(all_members, thickness, 1.164)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003758)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(all_members, thickness, 1.266)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_247", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.664)", "SCALE_PARAM(4, thickness, 1.441)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(2, thickness, 1.531)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(11, thickness, 1.346)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_248", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.499)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001274)", "SCALE_PARAM(14, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(1, thickness, 1.431)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.248)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_249", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "SCALE_PARAM(11, thickness, 1.592)", "SCALE_PARAM(6, thickness, 1.242)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_250", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003146)", "SCALE_PARAM(6, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.114)", "SCALE_PARAM(12, thickness, 1.247)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_251", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002630)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(14, thickness, 1.179)", "SCALE_PARAM(all_members, thickness, 1.144)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_252", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.001711)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.001934)", "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(0, thickness, 1.350)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.156)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_253", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.381)", "SCALE_PARAM(9, thickness, 1.211)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002715)", "SCALE_PARAM(all_members, thickness, 1.239)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_254", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002287)", "SCALE_PARAM(8, thickness, 1.393)", "SCALE_PARAM(all_members, thickness, 1.134)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_255", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001406)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(7, thickness, 1.212)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001833)", "SCALE_PARAM(all_members, thickness, 1.212)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_256", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_257", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.241)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "SCALE_PARAM(10, thickness, 1.188)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "SCALE_PARAM(12, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_258", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003031)", "SCALE_PARAM(13, thickness, 1.639)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002206)", "SCALE_PARAM(6, thickness, 1.214)", "SCALE_PARAM(all_members, thickness, 1.175)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_259", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.176)", "SCALE_PARAM(4, thickness, 1.592)", "SCALE_PARAM(4, thickness, 1.381)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_260", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.212)", "SCALE_PARAM(4, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_261", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.637)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(14, thickness, 1.397)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_262", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.359)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.002629)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001693)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(10, thickness, 1.488)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_263", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.309)", "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.175)", "SCALE_PARAM(4, thickness, 1.178)", "SCALE_PARAM(13, thickness, 1.613)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_264", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(4, thickness, 1.214)", "SCALE_PARAM(9, thickness, 1.316)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_265", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.447)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_266", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "SCALE_PARAM(9, thickness, 1.221)", "SCALE_PARAM(1, thickness, 1.393)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_267", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(14, thickness, 1.391)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001287)", "SCALE_PARAM(12, thickness, 1.391)", "SCALE_PARAM(5, thickness, 1.511)", "SCALE_PARAM(all_members, thickness, 1.333)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_268", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.002448)", "SCALE_PARAM(all_members, thickness, 1.229)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "SCALE_PARAM(14, thickness, 1.634)", "SCALE_PARAM(12, thickness, 1.453)", "SCALE_PARAM(6, thickness, 1.189)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_269", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002671)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001510)", "SCALE_PARAM(7, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.142)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_270", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.149)", "SCALE_PARAM(all_members, thickness, 1.172)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_271", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.616)", "SCALE_PARAM(all_members, thickness, 1.290)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002095)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002087)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.217)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_272", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(9, thickness, 1.211)", "SCALE_PARAM(2, thickness, 1.656)", "SCALE_PARAM(all_members, thickness, 1.247)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_273", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002795)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003630)", "SCALE_PARAM(5, thickness, 1.580)", "SCALE_PARAM(1, thickness, 1.471)", "SCALE_PARAM(all_members, thickness, 1.203)", "SCALE_PARAM(2, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_274", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002851)", "SCALE_PARAM(9, thickness, 1.427)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002966)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(6, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_275", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.456)", "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "SCALE_PARAM(14, thickness, 1.357)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_276", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.565)", "SCALE_PARAM(7, thickness, 1.647)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_277", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_278", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.299)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003558)", "SCALE_PARAM(5, thickness, 1.318)", "SCALE_PARAM(all_members, thickness, 1.186)", "SCALE_PARAM(all_members, thickness, 1.116)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_279", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001964)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004237)", "SCALE_PARAM(8, thickness, 1.543)", "SCALE_PARAM(all_members, thickness, 1.319)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_280", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.002725)", "SCALE_PARAM(13, thickness, 1.232)", "SCALE_PARAM(14, thickness, 1.208)", "SCALE_PARAM(15, thickness, 1.550)", "SCALE_PARAM(15, thickness, 1.323)", "SCALE_PARAM(13, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_281", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.002921)", "SCALE_PARAM(all_members, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(2, thickness, 1.370)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003515)", "SCALE_PARAM(all_members, thickness, 1.122)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_282", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "SCALE_PARAM(3, thickness, 1.253)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_283", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_284", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(8, thickness, 1.225)", "SCALE_PARAM(4, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.161)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_285", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "SCALE_PARAM(6, thickness, 1.631)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "SCALE_PARAM(15, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_286", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(6, thickness, 1.387)", "SCALE_PARAM(7, thickness, 1.567)", "SCALE_PARAM(all_members, thickness, 1.199)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_287", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(8, thickness, 1.183)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "SCALE_PARAM(11, thickness, 1.575)", "SCALE_PARAM(3, thickness, 1.381)", "SCALE_PARAM(9, thickness, 1.403)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_288", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(8, thickness, 1.346)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "SCALE_PARAM(10, thickness, 1.312)", "SCALE_PARAM(0, thickness, 1.570)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "SCALE_PARAM(6, thickness, 1.362)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_289", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.495)", "SCALE_PARAM(2, thickness, 1.196)", "SCALE_PARAM(0, thickness, 1.193)", "SCALE_PARAM(all_members, thickness, 1.217)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "SCALE_PARAM(7, thickness, 1.550)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_290", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "SCALE_PARAM(11, thickness, 1.280)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_291", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(7, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_292", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.002341)", "SCALE_PARAM(all_members, thickness, 1.274)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002432)", "SCALE_PARAM(8, thickness, 1.218)", "SCALE_PARAM(all_members, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.125)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_293", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.597)", "SCALE_PARAM(1, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(14, thickness, 1.531)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_294", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.506)", "SCALE_PARAM(7, thickness, 1.475)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.212)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_295", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.002561)", "SCALE_PARAM(all_members, thickness, 1.285)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "SCALE_PARAM(12, thickness, 1.328)", "SCALE_PARAM(11, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_296", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001662)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.112)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002257)", "SCALE_PARAM(7, thickness, 1.517)", "SCALE_PARAM(15, thickness, 1.348)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_297", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_298", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002268)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(5, thickness, 1.351)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(0, thickness, 1.211)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_299", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.536)", "SCALE_PARAM(1, thickness, 1.608)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "SCALE_PARAM(15, thickness, 1.309)", "SCALE_PARAM(10, thickness, 1.326)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_300", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(14, thickness, 1.227)", "SCALE_PARAM(2, thickness, 1.499)", "SCALE_PARAM(all_members, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_301", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.203)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001948)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004204)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003284)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(14, thickness, 1.484)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_302", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(0, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.153)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(3, thickness, 1.389)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_303", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002993)", "SCALE_PARAM(5, thickness, 1.562)", "SCALE_PARAM(all_members, thickness, 1.312)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_304", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.148)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003014)", "SCALE_PARAM(all_members, thickness, 1.304)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_305", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_306", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003135)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_307", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "SCALE_PARAM(3, thickness, 1.391)", "SCALE_PARAM(1, thickness, 1.580)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_308", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "SCALE_PARAM(6, thickness, 1.211)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_309", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(3, thickness, 1.447)", "SCALE_PARAM(12, thickness, 1.387)", "SCALE_PARAM(all_members, thickness, 1.304)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.225)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_310", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.211)", "SCALE_PARAM(6, thickness, 1.416)", "SCALE_PARAM(5, thickness, 1.330)", "SCALE_PARAM(all_members, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_311", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(14, thickness, 1.565)", "SCALE_PARAM(0, thickness, 1.664)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_312", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.292)", "SCALE_PARAM(3, thickness, 1.372)", "SCALE_PARAM(7, thickness, 1.515)", "SCALE_PARAM(all_members, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.167)", "SCALE_PARAM(11, thickness, 1.597)", "SCALE_PARAM(all_members, thickness, 1.151)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_313", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.458)", "SCALE_PARAM(all_members, thickness, 1.318)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003407)", "SCALE_PARAM(15, thickness, 1.603)", "SCALE_PARAM(6, thickness, 1.577)", "SCALE_PARAM(11, thickness, 1.340)", "SCALE_PARAM(all_members, thickness, 1.282)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_314", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "SCALE_PARAM(3, thickness, 1.558)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_315", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(9, thickness, 1.307)", "SCALE_PARAM(14, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(all_members, thickness, 1.140)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_316", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(7, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.316)", "SCALE_PARAM(0, thickness, 1.506)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_317", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.163)", "SCALE_PARAM(all_members, thickness, 1.155)", "SCALE_PARAM(9, thickness, 1.529)", "SCALE_PARAM(all_members, thickness, 1.266)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_318", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002712)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_319", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(13, thickness, 1.538)", "SCALE_PARAM(9, thickness, 1.340)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_320", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001801)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002102)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003543)", "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(1, thickness, 1.229)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_321", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.222)", "SCALE_PARAM(6, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(0, thickness, 1.431)", "SCALE_PARAM(4, thickness, 1.504)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_322", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.002237)", "SCALE_PARAM(10, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(all_members, thickness, 1.256)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_323", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "SCALE_PARAM(11, thickness, 1.181)", "SCALE_PARAM(11, thickness, 1.595)", "SCALE_PARAM(13, thickness, 1.475)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_324", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002275)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(13, thickness, 1.435)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_325", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003115)", "SCALE_PARAM(10, thickness, 1.289)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002186)", "SCALE_PARAM(8, thickness, 1.511)", "SCALE_PARAM(4, thickness, 1.186)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_326", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002405)", "SCALE_PARAM(13, thickness, 1.241)", "SCALE_PARAM(13, thickness, 1.325)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "SCALE_PARAM(7, thickness, 1.422)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_327", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.267)", "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(13, thickness, 1.575)", "SCALE_PARAM(10, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_328", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.263)", "SCALE_PARAM(all_members, thickness, 1.195)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004084)", "SCALE_PARAM(13, thickness, 1.653)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(all_members, thickness, 1.193)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_329", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.475)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "SCALE_PARAM(3, thickness, 1.486)", "SCALE_PARAM(5, thickness, 1.595)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_330", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003825)", "SCALE_PARAM(all_members, thickness, 1.256)", "SCALE_PARAM(all_members, thickness, 1.164)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_331", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(7, thickness, 1.560)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(8, thickness, 1.222)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_332", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.361)", "SCALE_PARAM(5, thickness, 1.558)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "SCALE_PARAM(5, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_333", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.364)", "SCALE_PARAM(all_members, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(all_members, thickness, 1.300)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003685)", "SCALE_PARAM(all_members, thickness, 1.185)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_334", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.230)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(6, thickness, 1.339)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_335", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.001685)", "SCALE_PARAM(12, thickness, 1.497)", "SCALE_PARAM(all_members, thickness, 1.264)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(4, thickness, 1.214)", "SCALE_PARAM(2, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_336", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004630)", "SCALE_PARAM(2, thickness, 1.420)", "SCALE_PARAM(10, thickness, 1.274)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003266)", "SCALE_PARAM(all_members, thickness, 1.208)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_337", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.002850)", "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.153)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_338", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.587)", "SCALE_PARAM(all_members, thickness, 1.135)", "SCALE_PARAM(all_members, thickness, 1.284)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003326)", "SCALE_PARAM(13, thickness, 1.186)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_339", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002162)", "SCALE_PARAM(all_members, thickness, 1.199)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_340", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001593)", "SCALE_PARAM(all_members, thickness, 1.325)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003832)", "SCALE_PARAM(all_members, thickness, 1.229)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_341", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.001933)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003218)", "SCALE_PARAM(all_members, thickness, 1.225)", "SCALE_PARAM(13, thickness, 1.658)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_342", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002842)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(0, thickness, 1.326)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "SCALE_PARAM(0, thickness, 1.238)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_343", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.437)", "SCALE_PARAM(15, thickness, 1.193)", "SCALE_PARAM(15, thickness, 1.235)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(7, thickness, 1.256)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_344", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001974)", "SCALE_PARAM(all_members, thickness, 1.125)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "SCALE_PARAM(0, thickness, 1.439)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_345", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(6, thickness, 1.387)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003134)", "SCALE_PARAM(0, thickness, 1.387)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.130)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_346", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.475)", "SCALE_PARAM(2, thickness, 1.511)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002830)", "SCALE_PARAM(4, thickness, 1.488)", "SCALE_PARAM(all_members, thickness, 1.209)", "SCALE_PARAM(6, thickness, 1.621)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_347", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001663)", "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004236)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003203)", "SCALE_PARAM(all_members, thickness, 1.111)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_348", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.502)", "SCALE_PARAM(3, thickness, 1.212)", "SCALE_PARAM(9, thickness, 1.445)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "SCALE_PARAM(3, thickness, 1.269)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_349", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002374)", "SCALE_PARAM(all_members, thickness, 1.139)", "SCALE_PARAM(all_members, thickness, 1.266)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_350", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.318)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003577)", "SCALE_PARAM(5, thickness, 1.427)", "SCALE_PARAM(all_members, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_351", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(8, thickness, 1.639)", "SCALE_PARAM(all_members, thickness, 1.297)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003180)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002315)", "SCALE_PARAM(all_members, thickness, 1.120)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_352", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "SCALE_PARAM(0, thickness, 1.590)", "SCALE_PARAM(9, thickness, 1.295)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_353", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(all_members, thickness, 1.206)", "SCALE_PARAM(all_members, thickness, 1.200)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_354", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003567)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002298)", "SCALE_PARAM(6, thickness, 1.195)", "SCALE_PARAM(all_members, thickness, 1.127)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_355", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002129)", "SCALE_PARAM(all_members, thickness, 1.218)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_356", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004486)", "SCALE_PARAM(11, thickness, 1.645)", "SCALE_PARAM(all_members, thickness, 1.247)", "SCALE_PARAM(0, thickness, 1.377)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "SCALE_PARAM(6, thickness, 1.661)", "SCALE_PARAM(7, thickness, 1.389)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_357", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(14, thickness, 1.484)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004823)", "SCALE_PARAM(all_members, thickness, 1.159)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_358", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.488)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.002435)", "SCALE_PARAM(10, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.287)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003430)", "SCALE_PARAM(all_members, thickness, 1.149)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_359", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(3, thickness, 1.536)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002952)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003538)", "SCALE_PARAM(all_members, thickness, 1.332)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_360", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.142)", "SCALE_PARAM(all_members, thickness, 1.147)", "SCALE_PARAM(12, thickness, 1.381)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_361", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "SCALE_PARAM(9, thickness, 1.370)", "SCALE_PARAM(11, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_362", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.495)", "SCALE_PARAM(7, thickness, 1.441)", "SCALE_PARAM(7, thickness, 1.416)", "SCALE_PARAM(all_members, thickness, 1.202)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_363", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.443)", "SCALE_PARAM(all_members, thickness, 1.326)", "SCALE_PARAM(1, thickness, 1.263)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003336)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003621)", "SCALE_PARAM(all_members, thickness, 1.206)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_364", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(6, thickness, 1.348)", "SCALE_PARAM(12, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_365", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002176)", "SCALE_PARAM(all_members, thickness, 1.192)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "SCALE_PARAM(3, thickness, 1.277)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_366", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.412)", "SCALE_PARAM(2, thickness, 1.395)", "SCALE_PARAM(12, thickness, 1.277)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.176)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_367", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.536)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "SCALE_PARAM(14, thickness, 1.497)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "SCALE_PARAM(2, thickness, 1.383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_368", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.211)", "SCALE_PARAM(all_members, thickness, 1.152)", "SCALE_PARAM(12, thickness, 1.597)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002576)", "SCALE_PARAM(all_members, thickness, 1.328)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_369", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.431)", "SCALE_PARAM(all_members, thickness, 1.311)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "SCALE_PARAM(9, thickness, 1.302)", "SCALE_PARAM(7, thickness, 1.577)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_370", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.233)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_371", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003795)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(0, thickness, 1.453)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_372", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.393)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001951)", "SCALE_PARAM(4, thickness, 1.182)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004209)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(13, thickness, 1.522)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_373", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002229)", "SCALE_PARAM(all_members, thickness, 1.332)", "SCALE_PARAM(all_members, thickness, 1.323)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "SCALE_PARAM(10, thickness, 1.422)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_374", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003866)", "SCALE_PARAM(10, thickness, 1.218)", "SCALE_PARAM(12, thickness, 1.639)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_375", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(11, thickness, 1.297)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "SCALE_PARAM(8, thickness, 1.199)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "SCALE_PARAM(9, thickness, 1.546)", "SCALE_PARAM(13, thickness, 1.471)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_376", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "SCALE_PARAM(3, thickness, 1.391)", "SCALE_PARAM(11, thickness, 1.230)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_377", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003301)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002178)", "SCALE_PARAM(all_members, thickness, 1.190)", "SCALE_PARAM(2, thickness, 1.264)", "SCALE_PARAM(9, thickness, 1.289)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "SCALE_PARAM(2, thickness, 1.385)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_378", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.299)", "SCALE_PARAM(all_members, thickness, 1.116)", "SCALE_PARAM(8, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.318)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_379", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.658)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003186)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002663)", "SCALE_PARAM(10, thickness, 1.318)", "SCALE_PARAM(4, thickness, 1.645)", "SCALE_PARAM(all_members, thickness, 1.263)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_380", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.613)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001761)", "SCALE_PARAM(all_members, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_381", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003814)", "SCALE_PARAM(all_members, thickness, 1.235)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "SCALE_PARAM(1, thickness, 1.318)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_382", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.263)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "SCALE_PARAM(8, thickness, 1.473)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_383", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.181)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002373)", "SCALE_PARAM(10, thickness, 1.307)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.218)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_384", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002472)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.172)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_385", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002897)", "SCALE_PARAM(4, thickness, 1.217)", "SCALE_PARAM(15, thickness, 1.222)", "SCALE_PARAM(9, thickness, 1.520)", "SCALE_PARAM(all_members, thickness, 1.161)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_386", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(6, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.277)", "SCALE_PARAM(10, thickness, 1.431)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_387", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(0, thickness, 1.263)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "SCALE_PARAM(7, thickness, 1.255)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_388", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.001851)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002042)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.001748)", "SCALE_PARAM(all_members, thickness, 1.272)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_389", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002944)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "SCALE_PARAM(14, thickness, 1.333)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_390", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003124)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002061)", "SCALE_PARAM(1, thickness, 1.353)", "SCALE_PARAM(all_members, thickness, 1.258)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_391", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001190)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(all_members, thickness, 1.325)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_392", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(5, thickness, 1.453)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_393", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.229)", "SCALE_PARAM(0, thickness, 1.370)", "SCALE_PARAM(all_members, thickness, 1.256)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_394", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.001687)", "SCALE_PARAM(6, thickness, 1.258)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(all_members, thickness, 1.297)", "SCALE_PARAM(12, thickness, 1.429)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_395", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.179)", "SCALE_PARAM(all_members, thickness, 1.178)", "SCALE_PARAM(0, thickness, 1.616)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_396", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.138)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "SCALE_PARAM(11, thickness, 1.229)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "SCALE_PARAM(6, thickness, 1.529)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_397", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.506)", "SCALE_PARAM(all_members, thickness, 1.307)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002709)", "SCALE_PARAM(14, thickness, 1.587)", "SCALE_PARAM(2, thickness, 1.546)", "SCALE_PARAM(all_members, thickness, 1.314)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_398", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.587)", "SCALE_PARAM(3, thickness, 1.546)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "SCALE_PARAM(5, thickness, 1.618)", "SCALE_PARAM(2, thickness, 1.555)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_399", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003095)", "SCALE_PARAM(8, thickness, 1.414)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(10, thickness, 1.558)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_400", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004451)", "SCALE_PARAM(2, thickness, 1.447)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002834)", "SCALE_PARAM(all_members, thickness, 1.256)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_401", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.572)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_402", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001133)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.185)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002523)", "SCALE_PARAM(10, thickness, 1.372)", "SCALE_PARAM(all_members, thickness, 1.229)", "SCALE_PARAM(all_members, thickness, 1.267)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_403", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.513)", "SCALE_PARAM(4, thickness, 1.370)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003417)", "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(11, thickness, 1.412)", "SCALE_PARAM(11, thickness, 1.553)", "SCALE_PARAM(all_members, thickness, 1.279)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_404", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.192)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "SCALE_PARAM(10, thickness, 1.637)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "SCALE_PARAM(4, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_405", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.209)", "SCALE_PARAM(all_members, thickness, 1.129)", "SCALE_PARAM(2, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.218)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_406", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003344)", "SCALE_PARAM(8, thickness, 1.297)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.175)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_407", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.220)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001297)", "SCALE_PARAM(all_members, thickness, 1.161)", "SCALE_PARAM(all_members, thickness, 1.218)", "SCALE_PARAM(7, thickness, 1.600)", "SCALE_PARAM(all_members, thickness, 1.211)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_408", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.230)", "SCALE_PARAM(4, thickness, 1.309)", "SCALE_PARAM(0, thickness, 1.272)", "SCALE_PARAM(6, thickness, 1.304)", "SCALE_PARAM(9, thickness, 1.196)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_409", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003022)", "SCALE_PARAM(all_members, thickness, 1.300)", "SCALE_PARAM(all_members, thickness, 1.112)", "SCALE_PARAM(12, thickness, 1.203)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_410", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.316)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "SCALE_PARAM(3, thickness, 1.517)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_411", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.233)", "SCALE_PARAM(all_members, thickness, 1.244)", "SCALE_PARAM(4, thickness, 1.527)", "SCALE_PARAM(0, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_412", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003950)", "SCALE_PARAM(8, thickness, 1.414)", "SCALE_PARAM(all_members, thickness, 1.192)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_413", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.284)", "SCALE_PARAM(7, thickness, 1.543)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_414", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003493)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002454)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_415", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.212)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "SCALE_PARAM(4, thickness, 1.374)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_416", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003373)", "SCALE_PARAM(12, thickness, 1.508)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004687)", "SCALE_PARAM(all_members, thickness, 1.193)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "SCALE_PARAM(7, thickness, 1.316)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_417", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.126)", "SCALE_PARAM(all_members, thickness, 1.307)", "SCALE_PARAM(12, thickness, 1.299)", "SCALE_PARAM(13, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_418", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.163)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "SCALE_PARAM(5, thickness, 1.339)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_419", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002706)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002865)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003237)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003789)", "SCALE_PARAM(all_members, thickness, 1.242)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_420", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003288)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002094)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.230)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_421", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003507)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003154)", "SCALE_PARAM(3, thickness, 1.333)", "SCALE_PARAM(all_members, thickness, 1.245)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_422", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003243)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "SCALE_PARAM(10, thickness, 1.451)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_423", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.497)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.269)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "SCALE_PARAM(2, thickness, 1.225)", "SCALE_PARAM(13, thickness, 1.473)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_424", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.565)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.002041)", "SCALE_PARAM(8, thickness, 1.508)", "SCALE_PARAM(all_members, thickness, 1.307)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_425", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.248)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "SCALE_PARAM(4, thickness, 1.198)", "SCALE_PARAM(12, thickness, 1.250)", "SCALE_PARAM(12, thickness, 1.383)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_426", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.144)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002501)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001894)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.143)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_427", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.145)", "SCALE_PARAM(1, thickness, 1.208)", "SCALE_PARAM(all_members, thickness, 1.225)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_428", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002050)", "SCALE_PARAM(11, thickness, 1.250)", "SCALE_PARAM(all_members, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_429", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.575)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003364)", "SCALE_PARAM(5, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.172)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_430", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.307)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001518)", "SCALE_PARAM(all_members, thickness, 1.119)", "SCALE_PARAM(all_members, thickness, 1.266)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001841)", "SCALE_PARAM(all_members, thickness, 1.206)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_431", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "SCALE_PARAM(12, thickness, 1.495)", "SCALE_PARAM(13, thickness, 1.484)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_432", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.269)", "SCALE_PARAM(13, thickness, 1.285)", "SCALE_PARAM(7, thickness, 1.259)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_433", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.227)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(14, thickness, 1.200)", "SCALE_PARAM(10, thickness, 1.259)", "SCALE_PARAM(9, thickness, 1.330)", "SCALE_PARAM(1, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_434", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003892)", "SCALE_PARAM(14, thickness, 1.443)", "SCALE_PARAM(5, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.122)", "SCALE_PARAM(14, thickness, 1.357)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_435", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.156)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003385)", "SCALE_PARAM(all_members, thickness, 1.117)", "SCALE_PARAM(4, thickness, 1.200)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003417)", "SCALE_PARAM(all_members, thickness, 1.155)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_436", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(6, thickness, 1.255)", "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(9, thickness, 1.355)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_437", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.203)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_438", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.144)", "SCALE_PARAM(2, thickness, 1.383)", "SCALE_PARAM(all_members, thickness, 1.152)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_439", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.290)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002098)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "SCALE_PARAM(5, thickness, 1.235)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_440", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.580)", "SCALE_PARAM(6, thickness, 1.497)", "SCALE_PARAM(5, thickness, 1.183)", "SCALE_PARAM(10, thickness, 1.332)", "SCALE_PARAM(11, thickness, 1.325)", "SCALE_PARAM(all_members, thickness, 1.147)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_441", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "SCALE_PARAM(14, thickness, 1.199)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_442", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.002743)", "SCALE_PARAM(5, thickness, 1.290)", "SCALE_PARAM(all_members, thickness, 1.248)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002592)", "SCALE_PARAM(14, thickness, 1.269)", "SCALE_PARAM(6, thickness, 1.261)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_443", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.159)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "SCALE_PARAM(1, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_444", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(5, thickness, 1.302)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(all_members, thickness, 1.205)", "SCALE_PARAM(all_members, thickness, 1.160)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(all_members, thickness, 1.179)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_445", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.481)", "SCALE_PARAM(1, thickness, 1.406)", "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.151)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "SCALE_PARAM(12, thickness, 1.274)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_446", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.227)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_447", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.002032)", "SCALE_PARAM(8, thickness, 1.484)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001479)", "SCALE_PARAM(all_members, thickness, 1.333)", "SCALE_PARAM(2, thickness, 1.404)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.112)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_448", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(10, thickness, 1.312)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.002395)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.001965)", "SCALE_PARAM(all_members, thickness, 1.182)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(14, thickness, 1.422)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_449", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.299)", "SCALE_PARAM(9, thickness, 1.387)", "SCALE_PARAM(all_members, thickness, 1.238)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_450", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003587)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001974)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003065)", "SCALE_PARAM(all_members, thickness, 1.312)", "SCALE_PARAM(9, thickness, 1.453)", "SCALE_PARAM(7, thickness, 1.397)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_451", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.001991)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003329)", "SCALE_PARAM(7, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.185)", "SCALE_PARAM(4, thickness, 1.511)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_452", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(all_members, thickness, 1.294)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_453", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.295)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.198)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004384)", "SCALE_PARAM(all_members, thickness, 1.276)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_454", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.148)", "SCALE_PARAM(4, thickness, 1.221)", "SCALE_PARAM(5, thickness, 1.381)", "SCALE_PARAM(0, thickness, 1.575)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_455", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.002505)", "SCALE_PARAM(all_members, thickness, 1.280)", "SCALE_PARAM(all_members, thickness, 1.255)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_456", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.555)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "SCALE_PARAM(3, thickness, 1.230)", "SCALE_PARAM(4, thickness, 1.511)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_457", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(11, thickness, 1.567)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.168)", "SCALE_PARAM(10, thickness, 1.269)", "SCALE_PARAM(8, thickness, 1.548)", "SCALE_PARAM(all_members, thickness, 1.256)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_458", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001921)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003398)", "SCALE_PARAM(all_members, thickness, 1.156)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003945)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_459", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.001999)", "SCALE_PARAM(12, thickness, 1.431)", "SCALE_PARAM(all_members, thickness, 1.198)", "SCALE_PARAM(all_members, thickness, 1.289)", "SCALE_PARAM(all_members, thickness, 1.272)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_460", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.368)", "SCALE_PARAM(all_members, thickness, 1.241)", "SCALE_PARAM(all_members, thickness, 1.258)", "SCALE_PARAM(4, thickness, 1.433)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001978)", "SCALE_PARAM(all_members, thickness, 1.124)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_461", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.613)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.287)", "SCALE_PARAM(all_members, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.208)", "SCALE_PARAM(8, thickness, 1.493)", "SCALE_PARAM(13, thickness, 1.608)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_462", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001369)", "SCALE_PARAM(11, thickness, 1.196)", "SCALE_PARAM(all_members, thickness, 1.115)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.211)", "SCALE_PARAM(8, thickness, 1.560)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_463", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.282)", "SCALE_PARAM(all_members, thickness, 1.319)", "SCALE_PARAM(all_members, thickness, 1.151)", "SCALE_PARAM(all_members, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_464", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.323)", "SCALE_PARAM(8, thickness, 1.328)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004716)", "SCALE_PARAM(12, thickness, 1.222)", "SCALE_PARAM(all_members, thickness, 1.186)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_465", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.233)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "SCALE_PARAM(5, thickness, 1.385)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_466", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001608)", "SCALE_PARAM(all_members, thickness, 1.232)", "SCALE_PARAM(all_members, thickness, 1.122)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003423)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_467", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.285)", "SCALE_PARAM(all_members, thickness, 1.253)", "SCALE_PARAM(1, thickness, 1.300)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003139)", "SCALE_PARAM(14, thickness, 1.267)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003152)", "SCALE_PARAM(all_members, thickness, 1.252)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_468", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(12, thickness, 1.224)", "SCALE_PARAM(14, thickness, 1.621)", "SCALE_PARAM(9, thickness, 1.370)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_469", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(1, thickness, 1.321)", "SCALE_PARAM(8, thickness, 1.520)", "SCALE_PARAM(2, thickness, 1.637)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.002242)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003481)", "SCALE_PARAM(all_members, thickness, 1.156)", "SCALE_PARAM(10, thickness, 1.214)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_470", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.003114)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003381)", "SCALE_PARAM(7, thickness, 1.529)", "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(0, thickness, 1.595)", "SCALE_PARAM(3, thickness, 1.311)", "SCALE_PARAM(10, thickness, 1.577)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_471", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.330)", "SCALE_PARAM(6, thickness, 1.550)", "SCALE_PARAM(6, thickness, 1.242)", "SCALE_PARAM(all_members, thickness, 1.225)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_472", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(13, thickness, 1.305)", "SCALE_PARAM(all_members, thickness, 1.274)", "SCALE_PARAM(12, thickness, 1.623)", "SCALE_PARAM(all_members, thickness, 1.133)", "SCALE_PARAM(8, thickness, 1.477)", "SCALE_PARAM(all_members, thickness, 1.244)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_473", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(2, thickness, 1.653)", "SCALE_PARAM(all_members, thickness, 1.157)", "SCALE_PARAM(all_members, thickness, 1.271)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_474", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.292)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(12, thickness, 1.468)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_475", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.002661)", "SCALE_PARAM(all_members, thickness, 1.179)", "SCALE_PARAM(all_members, thickness, 1.166)", "SCALE_PARAM(all_members, thickness, 1.195)", "SCALE_PARAM(14, thickness, 1.575)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_476", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(15, thickness, 1.182)", "SCALE_PARAM(2, thickness, 1.412)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.130)", "SCALE_PARAM(all_members, thickness, 1.258)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_477", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.178)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001601)", "SCALE_PARAM(all_members, thickness, 1.236)", "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.020538, 0.003051)", "SCALE_PARAM(5, thickness, 1.272)", "SCALE_PARAM(15, thickness, 1.462)", "SCALE_PARAM(all_members, thickness, 1.122)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_478", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(4, thickness, 1.453)", "SCALE_PARAM(all_members, thickness, 1.266)", "SCALE_PARAM(all_members, thickness, 1.264)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_479", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.001630)", "SCALE_PARAM(6, thickness, 1.225)", "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001186)", "SCALE_PARAM(all_members, thickness, 1.245)", "SCALE_PARAM(all_members, thickness, 1.319)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.003288)", "SCALE_PARAM(all_members, thickness, 1.328)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_480", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(3, thickness, 1.255)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003343)", "SCALE_PARAM(all_members, thickness, 1.188)", "SCALE_PARAM(2, thickness, 1.239)", "SCALE_PARAM(all_members, thickness, 1.186)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_481", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(8, thickness, 1.185)", "SCALE_PARAM(7, thickness, 1.229)", "SCALE_PARAM(10, thickness, 1.195)", "SCALE_PARAM(9, thickness, 1.361)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_482", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.143)", "SCALE_PARAM(all_members, thickness, 1.171)", "SCALE_PARAM(12, thickness, 1.183)", "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.003560)", "SCALE_PARAM(3, thickness, 1.299)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_483", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.015550, 0.001939)", "SCALE_PARAM(all_members, thickness, 1.189)", "SCALE_PARAM(all_members, thickness, 1.124)", "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.024142, 0.004024)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_484", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(all_members, thickness, 1.174)", "SCALE_PARAM(10, thickness, 1.664)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_485", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(all_members, thickness, 1.217)", "SCALE_PARAM(all_members, thickness, 1.328)", "SCALE_PARAM(all_members, thickness, 1.330)", "SCALE_PARAM(8, thickness, 1.325)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.002221)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_486", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(9, thickness, 1.410)", "SCALE_PARAM(all_members, thickness, 1.119)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_487", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.259)", "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.013326, 0.001416)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002504)", "SCALE_PARAM(2, thickness, 1.546)", "SCALE_PARAM(all_members, thickness, 1.199)", "SCALE_PARAM(all_members, thickness, 1.309)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_488", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003114)", "SCALE_PARAM(all_members, thickness, 1.181)", "SCALE_PARAM(7, thickness, 1.259)", "SCALE_PARAM(all_members, thickness, 1.248)", "SCALE_PARAM(8, thickness, 1.610)", "ADD_MEMBER(2, 5, A36_Steel, Pipe, 0.023667, 0.003235)", "SCALE_PARAM(all_members, thickness, 1.220)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_489", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.003133)", "SCALE_PARAM(all_members, thickness, 1.215)", "SCALE_PARAM(all_members, thickness, 1.183)", "SCALE_PARAM(2, thickness, 1.403)", "SCALE_PARAM(all_members, thickness, 1.241)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9833333333333334 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_490", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(7, thickness, 1.656)", "SCALE_PARAM(all_members, thickness, 1.138)", "SCALE_PARAM(all_members, thickness, 1.304)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.004281)", "SCALE_PARAM(13, thickness, 1.600)", "SCALE_PARAM(all_members, thickness, 1.305)", "SCALE_PARAM(12, thickness, 1.311)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_491", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.121)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.193)", "SCALE_PARAM(10, thickness, 1.269)", "SCALE_PARAM(6, thickness, 1.337)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_492", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.224)", "SCALE_PARAM(all_members, thickness, 1.202)", "SCALE_PARAM(all_members, thickness, 1.224)", "ADD_MEMBER(3, 6, A36_Steel, Pipe, 0.033550, 0.005592)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004709)", "SCALE_PARAM(14, thickness, 1.179)", "SCALE_PARAM(5, thickness, 1.543)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9500000000000001 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_493", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.220)", "SCALE_PARAM(all_members, thickness, 1.321)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_494", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.124)", "SCALE_PARAM(all_members, thickness, 1.120)", "SCALE_PARAM(3, thickness, 1.490)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.003928)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_495", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.200)", "SCALE_PARAM(5, thickness, 1.488)", "SCALE_PARAM(all_members, thickness, 1.277)", "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.023570, 0.002598)", "SCALE_PARAM(all_members, thickness, 1.269)", "SCALE_PARAM(14, thickness, 1.190)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_496", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.003177)", "SCALE_PARAM(all_members, thickness, 1.170)", "SCALE_PARAM(all_members, thickness, 1.136)", "SCALE_PARAM(all_members, thickness, 1.115)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_497", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(0, thickness, 1.342)", "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.026207, 0.004368)", "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.020178, 0.003363)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_498", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "SCALE_PARAM(all_members, thickness, 1.279)", "SCALE_PARAM(all_members, thickness, 1.174)", "ADD_MEMBER(0, 5, A36_Steel, Pipe, 0.028253, 0.004087)", "SCALE_PARAM(all_members, thickness, 1.152)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 1.0 }, { "problem_id": "auto_problem_099", "trace_id": "auto_problem_099_trace_499", "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 99)\n\nINITIAL STRUCTURE:\nJoints (8 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(2.10, 0.00) [free]\n J2: pos=(4.21, 0.00) [free]\n J3: pos=(6.31, 0.00) [roller]\n J4: pos=(0.00, 3.03) [free]\n J5: pos=(2.10, 3.03) [free]\n J6: pos=(4.21, 3.03) [free]\n J7: pos=(6.31, 3.03) [free]\n\nMembers (16 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0186, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M2: J2-J3 [A36_Steel, Pipe(r=0.0221, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0133, t=0.0017)]\n M4: J5-J6 [A36_Steel, Pipe(r=0.0214, t=0.0028)]\n M5: J6-J7 [A36_Steel, Pipe(r=0.0155, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0307, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0205, t=0.0023)]\n M8: J2-J6 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n M9: J3-J7 [A36_Steel, Pipe(r=0.0205, t=0.0027)]\n M10: J0-J5 [A36_Steel, Pipe(r=0.0283, t=0.0037)]\n M11: J1-J4 [A36_Steel, Pipe(r=0.0202, t=0.0026)]\n M12: J1-J6 [A36_Steel, Pipe(r=0.0262, t=0.0034)]\n M13: J2-J5 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n M14: J2-J7 [A36_Steel, Pipe(r=0.0236, t=0.0031)]\n M15: J3-J6 [A36_Steel, Pipe(r=0.0335, t=0.0044)]\n\nLOADING:\n Joint J4: Force=(0, -44075, 0) N\n Joint J6: Force=(0, -71470, 0) N\n\nDESIGN GOALS:\n - Minimum Factor of Safety (buckling): 1.5\n - Minimum Factor of Safety (yielding): 1.5\n - Maximum allowable mass: 224.33 kg\n - Objective: Minimize mass while satisfying FOS constraints", "initial_state": { "mass": 142.78501753934773, "fos_buckling": 0.27658341842922035, "fos_yielding": 1.4760488515447518, "deflection": 0.006964943946290279, "is_feasible": false }, "gold_action_sequence": [ "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.021362, 0.001938)", "SCALE_PARAM(all_members, thickness, 1.131)", "SCALE_PARAM(8, thickness, 1.522)", "SCALE_PARAM(all_members, thickness, 1.284)", "SCALE_PARAM(0, thickness, 1.562)", "SCALE_PARAM(all_members, thickness, 1.264)", "OPTIMAL_STATE" ], "reaches_solution": true, "trace_quality": 0.9666666666666667 } ]